From your question I can only assume that you do not have collision coverage on your car. If that is correct, then your only option is to sue the driver in small claims court for the reasonable value of your car on the date it was totaled.
DISCLAIMER: David J. McCormick is licensed to practice law in the State of Wisconsin and this answer is being provided for informational purposes only because the laws of your jurisdiction may differ. This answer based on general legal principles and is not intended for the purpose of providing specific legal advice or opinions. Under no circumstances does this answer constitute the establishment of an attorney-client relationship.
My esteemed colleague is correct, if you do not have a full-coverage policy, you may have to sue the driver of the other vehicle. Obviously, this will be very difficult if you cannot locate the driver. You may want to contact a local attorney for help, but many attorneys do not take property damage only cases. In the future, I recommend keeping full coverage on your vehicle to handle situations like this one.