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102100010001102 = 23229563838941413
BaseRepresentation
bin10111001101110000000010…
…110100111110001011001110
3111101111122222020121211102200
4113031300002310332023032
5101340301310030013402
61001052032545102330
730335324266501461
oct2715600264761316
9441448866554380
10102100010001102
112a5944099a4033
12b54b7ba9279a6
1344c7cb32abc59
141b2d949ba72d8
15bc0cc781021c
hex5cdc02d3e2ce

102100010001102 has 96 divisors (see below), whose sum is σ = 229284187984800. Its totient is φ = 32796705828096.

The previous prime is 102100010001079. The next prime is 102100010001113. The reversal of 102100010001102 is 201100010001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2465388948 + ... + 2465430360.

It is an arithmetic number, because the mean of its divisors is an integer number (2388376958175).

Almost surely, 2102100010001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100010001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114642093992400).

102100010001102 is an abundant number, since it is smaller than the sum of its proper divisors (127184177983698).

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

102100010001102 is a wasteful number, since it uses less digits than its factorization.

102100010001102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50402 (or 50399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100010001102 its reverse (201100010001201), we get a palindrome (303200020002303).

Subtracting 102100010001102 from its reverse (201100010001201), we obtain a palindrome (99000000000099).

The spelling of 102100010001102 in words is "one hundred two trillion, one hundred billion, ten million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 563 1126 1689 3378 5067 8389 10134 16327 16778 25167 32654 41413 48981 50334 75501 82826 97962 124239 146943 151002 243281 248478 293886 372717 486562 729843 745434 1200977 1459686 2189529 2401954 3602931 4379058 4723007 7205862 9446014 10808793 14169021 21617586 23315519 28338042 42507063 46631038 69946557 85014126 136967203 139893114 209839671 273934406 347413657 410901609 419679342 676150051 694827314 821803218 1042240971 1232704827 1352300102 2028450153 2084481942 2465409654 3126722913 4056900306 6085350459 6253445826 10074996053 12170700918 20149992106 30224988159 60449976318 90674964477 181349928954 195593888891 391187777782 586781666673 1173563333346 1760345000019 3520690000038 5672222777839 11344445555678 17016668333517 34033336667034 51050005000551 102100010001102