This gave me the inspiration to head to
http://www.uspapermoney.info for some stats. I made a list of printage figures of $1 bills by series (excluding stars, I think).
Series: printed
1977: 4.2 Billion
1977A: 3.3 Billion
1981: 5.5 Billion
1981A: 3.7 Billion
1985: 10.8 Billion
1988: 4.0 Billion
1988A: 15.1 Billion
1993: 4.6 Billion
1995: 18.6 Billion
1999: 10.1 Billion
2001: 4.9 Billion
2003: 7.2 Billion
2003A: 7.8 Billion
2006: 9.6 Billion
So, since Series 1977, 2001 has the sixth least printage.