After touchdown on the ice and snow covered runway, the airplane began drifting to the right. The pilot attempted to correct with left rudder input; however, the airplane continued to the right, and the right main landing gear wheel entered the snow off the runway surface. The airplane impacted a snowbank, nosed over, and came to rest inverted. The airplane sustained substantial damage to the left wing and fuselage. The pilot reported no preaccident mechanical malfunctions or failures with the airplane that would have precluded normal operation.