There is only one Donald J. Trump, and yet as he has continued his campaign for the Republican presidential nomination, there has been a groundswell of would-be Donald Trumps — who are imitating him for laughs.

Comedic impressions of Mr. Trump are on the rise, in late-night television and on the Internet, on programs like NBC’s “Tonight” show (whose host, Jimmy Fallon, has been known to put on a distinctive wig and an unplaceable five-boroughs accent) and “Saturday Night Live” (where both Darrell Hammond and Taran Killam have played him this season).

This past week, Mr. Trump was impersonated by no less than Johnny Depp, the Academy Award-nominated actor and star of the “Pirates of the Caribbean” franchise, in an online film for the Funny or Die website that became an Internet sensation.

Needless to say, the genuine article has taken note of his many copycats, and he has made it clear he believes that imitation is the sincerest form of flattery.