Cee Lo Green is stickin’ with sexy black hot rods — a classic Rolls-Royce convertible and looking cool as a cucumber.

The Voice” judge — who’s tooling around L.A. today in the whip — is under investigation by the LAPD for sexual battery, after a woman claimed he slipped her ecstasy at a restaurant and then sexually assaulted her back in July.  She says she passed out in the restaurant and the next thing she knew she was naked in a bed with Cee Lo in the room.

The singer has adamantly denied any wrongdoing.