* Factory, construction data show growing economy
* Analysts cite "January effect" aiding stocks
* Indexes up: Dow 1.1 pct, S&P 1.4 pct, Nasdaq 1.8 pct (Updates to midday, changes byline)
By Caroline Valetkevitch
NEW YORK, Jan 3 (Reuters) - Wall Street stocks launched the new trading year with gains of 1 percent or more on Monday, extending the late-2010 rally on optimistic signs about a global economic recovery.
The Nasdaq 100 hit a 10-year high, driven largely by gains in Apple Inc, which hit an all-time high at $330.20 and is up 56 percent since the end of 2009. The Nasdaq 100's level is still half of the all-time high of 2000.
Stocks got a lift from the "January effect" when fund managers are no longer engaged in year-end window dressing and instead focus on stocks they find attractive.
Bolstering the economic picture, data showed the U.S. manufacturing sector grew for a 17th straight month in December, while U.S. construction spending increased in November to its highest level since June.
The global outlook also received a boost after data showed China's factory inflation cooled in December, easing concerns the government would raise interest rates or take other steps to control growth.
U.S. stocks ended 2010 with double-digit gains, with the S&P 500 recording its best December since 1991. The gains marked a recovery to before the fall of Lehman Brothers in September 2008.
"The January effect I think is strong, following some momentum late in the previous year," said Bryant Evans, investment adviser and portfolio manager at Cozad Asset Management in Champaign, Illinois.
The Dow Jones industrial average was up 124.76 points, or 1.08 percent, at 11,702.27. The Standard & Poor's 500 Index was up 17.63 points, or 1.40 percent, at 1,275.27. The Nasdaq Composite Index was up 48.18 points, or 1.82 percent, at 2,701.05.
Evans said in January many investors ask themselves, "What am I going to do with my cash? Part of it is the tax year is over, and corporations and people have a better idea of how much money they have to invest."
The Nasdaq 100 hit an intraday high of 2268.30, its highest level since February 2001.
For 2010, the S&P rose 12.8 percent, the Dow Jones industrial average climbed 11 percent, and the Nasdaq surged 16.9 percent.
From its July low the S&P has risen 23 percent, boosted by improving economic data, positive earnings reports and stimulus measures by the U.S. Federal Reserve.$3 billion in the fourth quarter related to poorly underwritten mortgages it sold to Fannie Mae and Freddie Mac after the bank agreed to settle claims over the repurchase of those loans. Bank of America shares jumped 5.3 percent to $14.05.
Other top advancers included Alcoa Inc , which gained 4.2 percent to $16.03 after Deutsche Bank upgraded the stock on optimism about aluminum prices and "a belief that Alcoa has turned the corner from an operational point of view." (Reporting by Caroline Valetkevitch; Editing by Kenneth Barry)