We use a powerful, recently discovered method to determine the structure and to analyze the properties of geometrically thin, steady, hot two-temperature accretion disks, where Comptonized bremsstrahlung is the dominant emission mechanism. The method exploits the fact that the disk solutions depend on two parameters only. This allows all possible local disk solutions to be displayed as a surface in a single figure. We emphasize that some of these local solutions may be unphysical or may not connect in a physically self-consistent way with solutions at different radii to form global disk solutions