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101220023121 = 3753971138297
BaseRepresentation
bin101111001000100101…
…1101111101101010001
3100200021012022221100020
41132101023233231101
53124244311214441
6114255544214053
710212220000140
oct1362113575521
9320235287306
10101220023121
1139a22078578
121774a46a329
1397114c4a09
144c830c3757
1529763cce66
hex17912efb51

101220023121 has 64 divisors (see below), whose sum is σ = 160194682368. Its totient is φ = 55659921408.

The previous prime is 101220023083. The next prime is 101220023171. The reversal of 101220023121 is 121320022101.

It is not a de Polignac number, because 101220023121 - 27 = 101220022993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101220023121.

It is not an unprimeable number, because it can be changed into a prime (101220023171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12195445 + ... + 12203741.

It is an arithmetic number, because the mean of its divisors is an integer number (2503041912).

Almost surely, 2101220023121 is an apocalyptic number.

It is an amenable number.

101220023121 is a deficient number, since it is larger than the sum of its proper divisors (58974659247).

101220023121 is a wasteful number, since it uses less digits than its factorization.

101220023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101220023121 its reverse (121320022101), we get a palindrome (222540045222).

The spelling of 101220023121 in words is "one hundred one billion, two hundred twenty million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 53 97 113 159 291 339 371 679 791 1113 2037 2373 5141 5989 8297 10961 15423 17967 24891 32883 35987 41923 58079 76727 107961 125769 174237 230181 439741 580933 804809 937561 1319223 1742799 2414427 2812683 3078187 4066531 5633663 6562927 9234561 12199593 16900989 19688781 42654877 49690733 90943417 127964631 149072199 272830251 298584139 347835131 636603919 895752417 1043505393 1909811757 4820001101 14460003303 33740007707 101220023121