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102221022210012 = 223329101323144741
BaseRepresentation
bin10111001111100000101111…
…101101111010011111011100
3111101221020022210102222112000
4113033200233231322133130
5101344242123141210022
61001223404520442300
730350140136344326
oct2717405755723734
9441836283388460
10102221022210012
112a630768160742
12b56b151619390
13450652a0b95b4
141b35749718616
15bc400b5a96ac
hex5cf82fb7a7dc

102221022210012 has 96 divisors (see below), whose sum is σ = 276870414945600. Its totient is φ = 32572989792000.

The previous prime is 102221022210011. The next prime is 102221022210049. The reversal of 102221022210012 is 210012220122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221022210011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161256039 + ... + 161888702.

It is an arithmetic number, because the mean of its divisors is an integer number (2884066822350).

Almost surely, 2102221022210012 is an apocalyptic number.

102221022210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221022210012 is an abundant number, since it is smaller than the sum of its proper divisors (174649392735588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102221022210012 is a wasteful number, since it uses less digits than its factorization.

102221022210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323144884 (or 323144876 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221022210012 its reverse (210012220122201), we get a palindrome (312233242332213).

The spelling of 102221022210012 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 101 108 116 174 202 261 303 348 404 522 606 783 909 1044 1212 1566 1818 2727 2929 3132 3636 5454 5858 8787 10908 11716 17574 26361 35148 52722 79083 105444 158166 316332 323144741 646289482 969434223 1292578964 1938868446 2908302669 3877736892 5816605338 8724908007 9371197489 11633210676 17449816014 18742394978 28113592467 32637618841 34899632028 37484789956 56227184934 65275237682 84340777401 97912856523 112454369868 130550475364 168681554802 195825713046 253022332203 293738569569 337363109604 391651426092 506044664406 587477139138 881215708707 946490946389 1012089328812 1174954278276 1762431417414 1892981892778 2839472839167 3524862834828 3785963785556 5678945678334 8518418517501 11357891356668 17036837035002 25555255552503 34073674070004 51110511105006 102221022210012