We present a multilevel calculation within the framework of the interacting boson-fermion model (IBFM-1) of the odd-mass 101-109 Rh isotopes. We calculate both positive- and negative-parity states of the same hamiltonian, starting from the 1g9/2, 2p1/2, 2p3/2, 1f5/2 and 2d5/2 single-particle orbitals. We discuss energy spectra, electromagnetic E2 transition rates and one-nucleon transfer properties. We also discuss the influence of the 1f7/2 orbital on the one-nucleon transfer properties. The results of the calculation for the negative-parity states are compared with the results of the U(6/12) supersymmetry scheme of the interacting boson model.