"I don't really fully understand the whole idea when people get married the woman loses her name," said the seven-time Formula One world champion.
The Briton is being groomed to be their next world champion with Lewis Hamilton, 37, out of contract at the end of 2023.
The VISION EQXX, dubbed the most-efficient Mercedes-Benz ever built, will have energy consumption of less than 10 kilowatt hours.
PM Modi was first spotted with the new car at Hyderabad House in Delhi while welcoming Russian President Vladimir Putin.
Hamilton, the sport's most successful driver of all time, did not attend Thursday night's gala awards ceremony-- a requirement for the championship's top three.
Red Bull's Verstappen seized the title after overtaking seven-time world champion Hamilton on the last lap of the race amid uproar over how a late safety car period was conducted.
Red Bull rival Max Verstappen ended the Briton's quest for an unprecedented eighth F1 title with a safety-car aided, last-lap pass for championship glory at the season-ending Abu Dhabi GP.
The final race is in Abu Dhabi next weekend.
Verstappen finished second with Valtteri Bottas third for Mercedes after a controversial, roller-coaster weekend in Brazil.
Red Bull's Max Verstappen finished second to take back the Formula One world championship lead.