EMB-145 First Officer reported a primary pitch trim failure during climb. The crew regained control through the back up system and returned to the departure airport and landed safely.

Narrative

Started on day 3 last leg ZZZ to ZZZ1. After a normal 2 engine start and checklist run we taxied to the runway; then we were cleared for takeoff on XXL on the ZZZZZ [departure]. To 80 knots was normal; to V1 was normal as well and as we began to rotate the flight director sank way below the 13 degrees pitch up and then during my scan I saw that we were in pitch mode approximately 3 to 4 degrees pitch up. The Captain did a good job of holding around 10 degrees pitch up and the aircraft felt very stable; and I didn't see him physically try and trim before 170 but after a few seconds we saw a PTRIM MAIN INOP. We kept climbing on the ZZZZZ [departure] and leveled off around 3000 ft. At that point the Captain let it accelerate over 200 knots and had a lot of forward pressure but then he slowed it down and he called for the QRH. I did the QRH; and finally was able to use the back up trim after pushing the Pitch Trim Main Sys Cutout button out. As I was in the middle of the QRH we asked to return to the field and we kept 3000 ft. on a 090 heading until we were vectored onto the runway XY ILS. Approach control was very helpful even as we didn't request priority handling but we did tell them we had a trim issue. The QRH isn't super clear but it seemed to say to land with flaps 22 with flaps 45 Vref plus 10 but it was a gusty crosswind so we elected to add the appropriate Vref for the gusts. After a successful landing I called ops and we taxied into the gate without any other incident.