Male to go into the earphone jack of the phone to ... same connector, but with a mic on the cable somewhere? If you want something like that made, or they make it for the helmet, it'll probably cost as much as a good phone.
If there's an electronics course at your local high school, or a ham rdio club, someone can probably do it for you for the price of the parts and whatever you'd like to reward him with. ($25 would be a nice amount for a neat job.) The cable should run about in the $10 range. Since I don't know what you mean by remote/mic I won't speculate.
If you're talking about a remote headset (use the phone in your pocket with the headset/mic/button in the helmet, buy a $10 wired remote. (Or do they cost a bit more these days? The cheaper ones still cost the distributors less than a buck.)