immunodeficiency with hyperimmunoglobulin m immunodeficiency with hyperimmunoglobulin m immunodeficiency with hyperimmunoglobulin m is a rare disorder characterized by recurrent infections, low or absent igg, ige, and iga levels, and normal or elevated levels of igm and igd.: 84 immunodeficiency with hyperimmunoglobulin mother nameshyper-igm syndrome type 1this condition is inherited in an x-linked recessive manner