Proton one-quasiparticle states of heaviest nuclei are calculated within a macroscopic-microscopic approach. Basic characteristics of these states (projection of spin on the symmetry axis, parity, excitation energy, Nilsson label) are given. Much attention is paid to systematics of them (especially of the ground state), as functions of neutron number. Other important properties of the analyzed nuclei, as deformation, deformation energy, shell correction to energy and proton pairing-energy gap parameter, are also given. Heavy and super heavy odd-Z, even-N nuclei with proton number Z=93--117 and neutron number N=136--178 are considered. Most of them are expected to be deformed. It is obtained that characteristics of the ground states, which are known experimentally, is rather well reproduced.

PACS numbers: 21.10.--k, 21.10.Hw, 21.10.Pc, 27.90.+b