We report cyclotron resonance (CR) experiments on the midinfrared alloy InAs1-xNx grown on GaAs with x from 0% to 1.9%. Using magnetic fields up to 60 T and terahertz photon sources from 3 to 30 THz, we determine the dependence on x of the electron density and CR mass. The increase in the carrier density with increasing x is accompanied by a redshift in the interband photoluminescence emission and is explained in terms of the pinning of the Fermi level to its value at x = 0. The high carrier densities (similar to 10(18) cm(-3)) at x similar to 1% give rise to a CR mass that is only weakly dependent on the excitation energy, significantly weaker than that in InAs. (C) 2011 American Institute of Physics.