[en] The ground-state properties of Sn,Te,Xe, and Ba isotopes have been systematically investigated in the framework of the deformed relativistic mean-field theory with the new parameter set FSUGold. The results show that FSUGold is as successful as NL3^* in reproducing the ground-state binding energies of the nuclei. The calculated two-neutron separation energies, quadrupole deformations, and root-mean-square (rms) charge radii are in good agreement with the experimental data. The parameter set FSUGold can successfully describe the shell effect of the neutron magic number N=82. Detailed discussions on the binding energies, two-neutron separation energies, quadrupole deformations, rms charge radii and ''binding energies'' of the last neutrons are given. (orig.)