He said he hoped he would get to run against Mr. Biden. “I hope it’s Biden,” Mr. Trump said. “Biden was never very smart. He was a terrible student. His gaffes are unbelievable. When I say something that you might think is a gaffe, it’s on purpose; it’s not a gaffe. When Biden says something dumb, it’s because he’s dumb.”

He also expressed a desire to take on Senator Elizabeth Warren of Massachusetts, whom he regularly derides with the racially inflammatory nickname of Pocahontas because she has claimed a distant Native American heritage.

“I hope I haven’t wounded Pocahontas too badly,” he said. “I’d like to run against her.”…

As for the Democratic congressional leaders who have vexed him so much lately, he had kinder words for Speaker Nancy Pelosi of California than for Mr. Schumer. Ms. Pelosi, he said, is nice to him in private but then says terrible things about him on camera. “Schumer,” he added, “can be a nasty son of a bitch.”