PREHEAT the oven to 375 degrees.
CHOP the crystallized ginger in a food processor. Set aside.
BLEND the eggs, flour, milk, rum, salt and vanilla extract in the food processor until smooth.
POUR half the batter into an 8-inch baking pan; bake for 20 minutes. Arrange the apricots and ginger on top. Pour on the remaining batter. Bake until the batter has set, about 25 minutes.
SIFT the confectioners' sugar over the pancake and serve warm.