We investigated the magnetic polaritons in a semi-infinite ferrite-semiconductor binary structure at the microwave region of the spectrum. The permittivity and permeability tensors of the structure depend on the various factors including the characteristic frequencies of the semiconductor and ferrite material, the thickness ratio of two layers, the external magnetic flux density and its frequency. By changing these factors, we can control the optical properties to achieve some extraordinary behaviors. By controlling and adjusting some accessible factors, the longitudinal components of both permittivity and permeability tensors simultaneously acquire zero. This region is identified as the gyrotropic nihility region. At this region, the waves can easily pass through this structure as its resistance to the passage of the electromagnetic waves is negligible. In this paper, we have studied the circumstances under which this extraordinary phenomenon may occur.