It's infinite, but here's a website that takes the "infinity" to 4 million digits.
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1.2411 trillion digits (1,241,100,000,000) digits of pi have been dicovered.
there are 29 zeros in the first 200 digits of pi.
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There are 100230 '3's in the first million digits of pi.
The decimal representation of pi, as of late 2011, is over 10 trillion (1013) digits.