1. A destination display apparatus which displays a name of a destination of a mobile terminal and information regarding the destination, said destination display apparatus comprising: a destination obtaining unit configured to obtain a plurality of destinations of the mobile terminal; a label obtaining unit configured to obtain labels indicating display names of the plurality of destinations as a hierarchical structure based on degrees of detail of display patterns each regarding a position; a number-to-be-displayed determining unit configured to determine the number of the labels to be displayed on a display screen; a position obtaining unit configured to obtain a current position of the mobile terminal; a map accumulating unit configured to accumulate map information; a route calculating unit configured to calculate traffic jam information regarding each of routes from the current position to a corresponding one of the plurality of destinations, using the map information; an availability determining unit configured to determine that the labels obtained as the hierarchical structure by said label obtaining unit are unavailable when pieces of traffic jam information are not similar to each other, the pieces of traffic jam information each regarding the route to the corresponding one of the plurality of destinations, and the plurality of destinations being included in descendant labels of the labels, which are located at a low rank in the hierarchical structure of the labels, a label selecting unit configured to select, from the labels including the plurality of the destinations obtained by said destination obtaining unit, one or more labels using the hierarchical structure obtained by said label obtaining unit so that the number of labels becomes equal to or below the number of the labels to be displayed, the number of the labels to be displayed being obtained by said number-to-be-displayed determining unit; an information obtaining unit configured to obtain information regarding each of the plurality of destinations; an information calculating unit configured to calculate, from the information obtained by said information obtaining unit, traffic jam information regarding each route to the corresponding one of the plurality of destinations; and a display unit configured to display the information regarding each of the plurality of destinations, together with the one or more labels selected by said label selecting unit, the information being obtained by said information obtaining unit, wherein said label selecting unit is configured to select one or more labels other than the labels determined as unavailable by said availability determining unit, said availability determining unit is configured to determine the one or more labels as unavailable when the pieces of traffic jam information each regarding the route to the corresponding one of the plurality of destinations included in the descendant labels of the one or more labels do not match, and said display unit is configured to display the traffic jam information, together with the one or more labels selected by said label selecting unit.