There are infinitely many. In October 2011, Alexander J Yee and Shigeru Kondo has calculated 10 trillion (and 50) digits. That is the record as at the time of writing this answer (June 2013).
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here is 150 digits of pi by memory; 3.14159265358979323846264338327950288419716939937510582097494459230781640 628620899862803482534211706798214808651328230664709384460955058223179408128
The first digit of pi is 3 on its own followed by an infinite amount of decimal numbers.
None. The first zero in 'pi' occurs in the 32nd decimal place.
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.
The first occurrence of the digit 0 in the digits of pi is at the 32nd decimal place.