HTC’s sales more than doubled in December and its fourth-quarter profits nearly tripled on the strength of its Android-dominated handset portfolio, the company announced today.

HTC’s December sales totaled $113.2 million, up from $48.3 million last year, and the company posted fourth-quarter profits of nearly $500 million on sales of $3.59 billion. For the full year 2010, HTC made $1.34 billion after taxes on sales of $9.54 billion.

HTC has moved aggressively to increase its lineup of smartphones using Google’s Android operating system. The company currently sells 13 different Android-based smartphones, eight Windows Mobile devices and two devices using Windows Phone 7.

Sprint just unveiled its third WiMAX smartphone from HTC, the HTC Evo Shift. The phone has a slide-out qwerty keyboard and uses Android 2.2.