Anyone who’s seen Carol Channing in one of her recent appearances — say, at the Kennedy Center Honors — knows that she’s remarkably spry for an almost-90-year-old. But she’s even more dynamic at St. Luke’s Theatre, where she’s doing a one-woman show.

Well, not really. Performing “Richard Skipper as ‘Carol Channing’ in Concert” is Richard Skipper, a veteran cabaret star who’s made a career of impersonating her. This is essentially a glorified cabaret act, but it’s also an affectionate, terrifically entertaining portrait.

“I am real — I’m not a hologram,” declares Skipper, who, while heftier than the woman he portrays, looks remarkably like her — helped, of course, by the red sequined gown, platinum wig and red lipstick.

He hooks us from “Hello, Dolly!” on, capturing both Channing’s vocal inflections and superb comic timing.

Accompanied by a first-rate, three-piece band he performs such trademark numbers as “I’m Just a Little Girl From Little Rock,” “Thoroughly Modern Millie” and “Diamonds Are a Girl’s Best Friend.”

But it’s in his running commentary and improvisations that Skipper truly captures Channing’s wittily deadpan persona. Whether describing her late-in-life reunion with her first love or bantering with the audience, his “Carol” is as warmly engaging as the real thing.