A rare inherited immunodeficiency syndrome characterized by normal or elevated serum IMMUNOGLOBULIN M levels with absence of IMMUNOGLOBULIN G; IMMUNOGLOBULIN A; and IMMUNOGLOBULIN E. It results in a profound susceptibility to BACTERIAL INFECTIONS and an increased susceptibility to OPPORTUNISTIC INFECTIONS. Several subtypes of hyper-IgM immunodeficiency syndrome exist depending upon the location of genetic mutation.