Sorry for the wreck, which was a good hit. I'll be very surprised if it isn't totaled. At least you are okay. However, you would be smart to at least have your doctor check you out. This is smart to do because some injuries from a crash don't manifest for a couple of days. If you are feeling ANY pain at all, get to a doctor. This will protect you should you need to return to the doctor if an injury manifests soon, or if any pain/stiffness you have now gets worse. JMO.
I would definitely get checked especially if the insurance wants to fix your car. Medical pain is the only way you will get your money out of this car if the insurance does try to fix it which I think you should fight very hard if they do try to fix it.