The petition cites Mr Trump's "well documented misogyny and vulgarity" and calls for him to be allowed into the country but to meet The Queen.
A statement on the government petition reads: "Donald Trump should be allowed to enter the United Kingdom in his capacity as head of the US Government, but he should not be invited to make an official state visit because it would cause embarrassment to Her Majesty the Queen".
"Obviously she's well respected and I didn't want him using photo opportunities from that [meeting] in his re-election campaign", he told The Independent.
"It just seemed a very incongruous thing for this man, with all of the things he's said, to be with the Queen", he explained, adding that he thought Mr Trump might find an affinity with another member of the royal household - "I mean maybe he'd get on well with Prince Philip. who knows". But there's no reason why he should get all the pomp and publicity of a state visit. The petition reached the 100,000 figure in just under five hours after being launched at 8am.
In a statement after the show, Corbyn said: "Donald Trump should not be welcomed to Britain while he abuses our shared values with his shameful Muslim ban and attacks on refugees' and women's rights".
Having started the day with a few hundred signatures, by 5pm more than 400,000 people had backed the petition, easily passing the 100,000 needed to force MPs to consider it for a debate. I think he has to be challenged on this.
"I don't think he should be coming on a state visit while the ban is in place, I couldn't be clearer". "I'm not happy with him coming here until that ban is lifted quite honestly because look at what's happening with those countries, how many more is it going to be, and what's going to be the long term effect of this on the rest of the world".
"There are about 15,000 Muslims living in Preston".