Claims Administrator (Health and Dental): HP Administrative Services, LLC (HP) (New Claims) PO Box 24870 Oklahoma City, OK 73124 (Corrected Claims and Correspondence) PO Box 24110 Oklahoma City, OK 73124. Oklahoma City Area: 1-405-416-1800 All Areas: toll-free 1-800-782-5218 FAX: 1-405-416-1750 TDD Oklahoma City Area: 1-405-416-1525.