A secondary battery remaining capacity estimating apparatus basically includes a secondary battery, a charge/discharge determining section, a remaining capacity estimating section, a remaining capacity indicating section and a remaining capacity indication limiting section. The charge/discharge determining section determines if the secondary battery is charging or discharging. The remaining capacity estimating section estimates a remaining electric power capacity of the secondary battery. The remaining capacity indicating section indicates a remaining capacity of the secondary battery based on an estimation value by the remaining capacity estimating section. The remaining capacity indication limiting section limits a decrease of a remaining capacity indicated upon determining that the secondary battery is charging and the estimation value will decrease, and limits an increase of a remaining capacity indicated upon determining that the secondary battery is discharging and the estimation value will increase.