  In this paper we discuss the consequences of including a new heavy
right-handed neutrino singlet $N_R$ in the littlest Higgs model. This new state
is not connected with the light neutrinos {\it via} the seesaw mechanism. A
very interesting property of this extended model is the full coupling of the
new neutral gauge boson $A_H$ to $N_R$, giving large total cross sections and
suggesting a wide range of experimental search for the $N_R$ at the p p
collider CERN-LHC and future electron-positron collider ILC.
