  The Co$_2$Ge$_2$Te$_6$ shows intrinsic ferromagnetic (FM) order, which
origins from superexchange interaction between Co and Te atoms, with higher
Curie temperature ($T_c$) of 161 K. Co$_2$Ge$_2$Te$_6$ monolayer (ML) is
half-metal (HM), and spin-$\beta$ electron is a semiconductor with gap of 1.311
eV. Co$_2$Ge$_2$Te$_6$ ML tends in-plane anisotropy (IPA), with magnetic
anisotropy energy (MAE) of -10.2 meV/f.u.. Co$_2$Ge$_2$Te$_6$ ML shows good
dynamical and thermal stability. Most interestingly, bilayers present
ferromagnetic half-metallicity independent of the stacking orders. Notley, the
multilayers ($N\ge 6$) present ferromagnetic HM, while the magnetoelectronic
properties are related with the stacking patterns in thinner multilayers.
Moreover, the magnetoelectronic properties are dependent on the stacking orders
of bulk. The magnetic order with multilayers is determined by the super-super
exchange and weak van der Waals (vdW) interaction. Co$_2$Ge$_2$Te$_6$ with
intrinsic ferromagnetism, good stability of ferromagnetism and half-metallicity
could help researchers to investigate its wide application in the spintronics.
