1. An information processing unit having an auto power-off function, comprising: a mode setting means for setting one mode from a plurality of pre-prepared power-saving modes in conformity with input by a user, wherein the plurality of power-saving modes includes a first mode and a second mode, and the first mode and the second mode differ in electricity consumption reduction effectiveness; a determination means for determining whether a non-operated state in which no input operation has been carried out by the user has continued for a predetermined time or longer; a processing execution means for executing internal processing; and a decision means for deciding whether or not to execute the auto power-off function based on the mode set by the mode setting means and internal processing executed by the processing execution means when the determination means has determined that the non-operated state has continued for a predetermined time or longer.