Her 134-run stand with Jemimah Rodrigues set India up for a match-winning total of 194 for 5.
Dottin is expected to be a key figure for the Windies as they look to defend the title they won two years ago in India, when they upset three-time champions Australia in the final. "I was not looking at how many runs I was getting, I was looking at how many we needed to win the game".
She was battling stomach cramps and needed frequent attention from the physio, but that didn't stop her from dishing out eight sixes against New Zealand in an innings reminiscent of her iconic 171 in the ICC Women's World Cup semi-final previous year against Australia.
The spinners accounted for eight of the nine New Zealand wickets with seamer Arundhati Reddy picking up one wicket.
The big-hitting Harmanpreet played shots on all sides of the wicket, and was most effective towards the long-off, long-on and the deep mid-wicket region.
Having struck seven boundaries, Rodrigues, at 18, became the youngest player to score a fifty in Word T20 tournament.
The 100-run partnership was up in quick time, after the duo scored 16 runs in one of the overs in the back 10.
Kaur, whose 171 against Australia in the ODI World Cup previous year has become a stuff of legends, didn't know while batting that she had gone on to become first T20 centurion from the country. Bismah Maroof, 26, was the top-scorer for her team. She said the focus had been on just getting as many runs as possible, because New Zealand had powerful batsmen in their line-up.
However, Bates, who became the highest run-getter in T20 Internationals, could not find support at the other end as New Zealand were reduced to 93 for four in the 13th over. Three successive sixes took her from 79 to 97, also taking her tally of sixes to eight.
The Providence Stadium track proved to be helpful for the slow bowlers as India used Deepti Sharma, Dayalan Hemlatha, Poonam Yadav and Radha Yadav to good effect.
The contest was as good as over for New Zealand after Bates' dismissal and India kept up the pressure on their opponents.