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102122120202212 = 2211101181829115313
BaseRepresentation
bin10111001110000100101000…
…101100101100011111100100
3111101120210001010212102102002
4113032010220230230133210
5101341132100232432322
61001110130535304432
730340036224220265
oct2716045054543744
9441523033772362
10102122120202212
112a5a2825599410
12b553b4b51b118
1344ca0c7c069a6
141b30a4643296c
15bc166d95ac92
hex5ce128b2c7e4

102122120202212 has 96 divisors (see below), whose sum is σ = 198015315458688. Its totient is φ = 45697132800000.

The previous prime is 102122120202211. The next prime is 102122120202241. The reversal of 102122120202212 is 212202021221201.

It is not an unprimeable number, because it can be changed into a prime (102122120202211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6668974268 + ... + 6668989580.

It is an arithmetic number, because the mean of its divisors is an integer number (2062659536028).

Almost surely, 2102122120202212 is an apocalyptic number.

It is an amenable number.

102122120202212 is a deficient number, since it is larger than the sum of its proper divisors (95893195256476).

102122120202212 is a wasteful number, since it uses less digits than its factorization.

102122120202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901 (or 23899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102122120202212 its reverse (212202021221201), we get a palindrome (314324141423413).

The spelling of 102122120202212 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 101 181 202 362 404 724 1111 1991 2222 3982 4444 7964 8291 15313 16582 18281 30626 33164 36562 61252 73124 91201 168443 182402 201091 336886 364804 402182 673772 804364 837391 1500671 1546613 1674782 2771653 3001342 3093226 3349564 5543306 6002684 6186452 9211301 11086612 16507381 17012743 18422602 30488183 33014762 34025486 36845204 60976366 66029524 68050972 121952732 126960083 151567771 253920166 279936953 303135542 507840332 559873906 606271084 1119747812 1396560913 1667245481 2793121826 3079306483 3334490962 5586243652 6158612966 6668981924 12317225932 12822968383 22979775023 25645936766 45959550046 51291873532 91919100092 141052652213 252777525253 282105304426 505555050506 564210608852 1011110101012 2320957277323 4641914554646 9283829109292 25530530050553 51061060101106 102122120202212