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There is 5 trillion digits of pi.
1.2411 trillion digits (1,241,100,000,000) digits of pi have been dicovered. * * * * * 1.2 trillion? That is ancient history! Pi is a transcendental number and so its decimal representation has infinitely many digits. Ten trillion digits in its decimal form were calculated in October 2011. See link for details.
Currently (Sept 2014), the number of digits is 10 trillion (and fifty).
From Wikipedia: "As of January 2010, the record is almost 2.7 trillion digits."
Almost 2.7 trillion digits. * * * * * As of 17 October 2011, the answer is 10 trillion = 1013.