1. A radio-controlled timepiece comprising: a timekeeping unit which keeps date and time; a date/time obtaining unit which obtains date/time information from outside to correct the date and time of the timekeeping unit; a preliminary notice information obtaining unit which obtains from outside preliminary notice information regarding whether leap second adjustment in which a leap second is inserted or deleted is executed; and a date/time obtaining necessity setting unit which sets whether the date/time information needs to be obtained by the date/time obtaining unit based on history of obtaining the date/time information by the date/time obtaining unit, wherein the date/time obtaining necessity setting unit, (i) sets that the date/time information needs to be obtained at a timing of adjustment possible date/time which is determined to be date and time when the leap second adjustment can be executed, when the preliminary notice information is not obtained by the adjustment possible date/time or the leap second adjustment is executed at the adjustment possible date/time; and (ii) does not change setting at the adjustment possible date/time when the preliminary notice information is obtained and the leap second adjustment is not executed.