He is the 10th batter to achieve a double of a double ton and century in a single Test match.
New Zealand, who are 1-0 up in the three-Test series, were 334 for one at stumps with Conway on 178 having hit 25 fours.
West Indies, who trail 1-0 in the three-Test series, finished the day on 43 for no loss, still 419 behind their improbable target. Brandon King was batting on 37, while John Campbell was on two.
Opener Devon Conway and debutant Mitchell Hay struck half-centuries to earn New Zealand a handy first-innings lead of 73 before their depleted bowling attack reduced West Indies to 32 for two to take control of the second Test in Wellington on Thursday.
Ravindra, Conway pave the way as New Zealand clinch ODI series against West Indies
In a moment of brilliance that set the tone for the India vs New Zealand third T20I in Guwahati, Hardik Pandya produced a stunning piece of athleticism in the very first over of the match.
New Zealand batters Rachin Ravindra and Devon Conway have been struck down with illness ahead of the T20 World Cup but head coach Rob Walter is hopeful of a clean bill of health before their tournament gets underway.
New Zealand aims to regain their form against a formidable Afghanistan in their opening Group D match of the ICC T20 World Cup. Key players and strategies are under scrutiny as both teams seek a strong start in the tournament.
Sri Lanka must improve their batting against slower bowlers when they face New Zealand in a crucial T20 World Cup Super Eight clash in Colombo, with both teams chasing their first win.
New Zealand, led by Mitchell Santner, look to seal a T20 World Cup semi-final berth as their spin attack prepares to challenge Harry Brook's England in a crucial Super Eight clash in Colombo.
The opener also milked 100 runs for the opening wicket with Devon Conway.
Steve Smith becomes the most expensive player in Pakistan Super League history after being signed by Sialkot Stallions for PKR 14 crore.
Kishan's statement knock, Surya's welcome fifty give India 2-0 lead
Shivam Dube flickered brightly with a fifty of exceptional quality but it was insufficient to prevent India's 50-run defeat against New Zealand in the fourth T20 International.
New Zealand's middle-order faces a stern test against Pakistan's spin attack in their T20 World Cup Super Eight Group 2 match. The ability of the Kiwi batters to counter the spin will be crucial for their success.
New Zealand will aim to secure their spot in the Super Eight stage of the T20 World Cup when they face Canada, while also looking to address weaknesses exposed in their previous match against South Africa.
New Zealand aims to solidify their Group D lead with a victory against the United Arab Emirates in their T20 World Cup match, following a win against Afghanistan. The Kiwis will look for strong performances from Finn Allen and Rachin Ravindra, while the UAE seeks to gain experience against a top team.
New Zealand and South Africa, both undefeated, will compete for the top spot in their T20 World Cup group in a match that could determine momentum heading into the Super 8s.
Sanju Samson and Ishan Kishan face a key test as India take on New Zealand in the second T20I at Raipur, eyeing World Cup momentum.
Iyer, who returned to international action after a long injury layoff following a spleen laceration with internal bleeding sustained during the third ODI against Australia in Sydney in October last year, said he was delighted to begin the series on a winning note.
New Zealand fast bowler Jacob Duffy is set to make his Twenty20 World Cup debut next month after being picked in the 15-member squad led by Mitchell Santner.
India vs New Zealand, 3rd T20, Guwahati: Abhishek blitz hands India series win
In India's 100th T20I at home, Suryakumar Yadav and Ishan Kishan struck explosive fifties as India chased down 209 with ease to beat New Zealand in Raipur, taking a 2-0 lead in the T20I series ahead of the World Cup.
What began as routine on-field communication during the first ODI in Vadodara on Sunday soon turned into a talking point, as a brief stump-mic moment sparked playful banter among commentators.
Tournament co-hosts India will be out to defend their Twenty20 World Cup title. The 10th edition of the 20-overs global showpiece event will run from February 7 to March 8.
Former New Zealand player Ian Smith put down the Shubman Gill-led India's recent red ball struggles at home to their diminishing ability against spin.
Skipper Suryakumar Yadav would want the attacking batter in him to front up and bolster his leadership against New Zealand when the five-match T20I series gets underway in Nagpur on Wednesday, serving as a final dress rehearsal for India's World Cup title defence in less than three weeks' time.
Opener Abhishek Sharma's explosive unbeaten 68 off 20 balls set up a comprehensive eight-wicket victory against New Zealand.in the third match in Guwahati
IMAGES from the first ODI played between India and New Zealand in Vadodara on Sunday
India's absolute dominance at home will come under examination when they meet a determined New Zealand in the decisive third ODI at the high-scoring Holkar Stadium in Indore on Sunday, with the three-match series locked at 1-1.
Kohli's 124 in vain as New Zealand beat India by 41 runs in 3rd ODI to clinch series 2-1
Sanju Samson seeks revival with home support as India manage injuries and combinations against New Zealand in the final T20I before the World Cup.
Virat Kohli has reclaimed the top spot in the ICC ODI batting rankings for the first time in five years.
Virat Kohli's stroke-filled 91-ball 93 set up India's win in the series opener against New Zealand.
Jaise main team se in and out hota hoon uska advantage bhi hai. Mera ball bhi in and out jaata hai. I'm enjoying that, says Arshdeep Singh
Kane Williamson is unavailable for ODI selection due to his commitments in the SA20 league.
India will be hoping for a positive turn in their spinners' performance while attempting to extend the total domination over New Zealand to the fourth T20I in Visakhapatnam on Wednesday.
Tournament co-hosts India will be out to defend their Twenty20 World Cup title in familiar home conditions next month.
Even as the focus remains on the T20 World Cup which is less than a month away, Kohli and Rohit will hog the limelight in the three ODIs over the next seven days.
Pathan also lauded young Harshit Rana's all-round contribution, insisting the pacer is earning his place purely on merit.