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102111012021102 = 23729613261752259
BaseRepresentation
bin10111001101111010010010…
…100110010110001101101110
3111101112201100222212100120220
4113031322102212112031232
5101340441323034133402
61001101052404352210
730336164032226520
oct2715722246261556
9441481328770526
10102111012021102
112a599045291547
12b55196b3a5666
1344c9047762b66
141b302b1041a10
15bc121d64cdbc
hex5cde9299636e

102111012021102 has 128 divisors (see below), whose sum is σ = 241935671577600. Its totient is φ = 28111319018496.

The previous prime is 102111012021097. The next prime is 102111012021157. The reversal of 102111012021102 is 201120210111201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953915049 + ... + 1953967307.

It is an arithmetic number, because the mean of its divisors is an integer number (1890122434200).

Almost surely, 2102111012021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111012021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120967835788800).

102111012021102 is an abundant number, since it is smaller than the sum of its proper divisors (139824659556498).

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

102111012021102 is a wasteful number, since it uses less digits than its factorization.

102111012021102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55530.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111012021102 its reverse (201120210111201), we get a palindrome (303231222132303).

The spelling of 102111012021102 in words is "one hundred two trillion, one hundred eleven billion, twelve million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 613 1218 1226 1839 2617 3678 4291 5234 7851 8582 12873 15702 17777 18319 25746 35554 36638 52259 53331 54957 75893 104518 106662 109914 124439 151786 156777 227679 248878 313554 365813 373317 455358 531251 731626 746634 1062502 1097439 1515511 1593753 1604221 2194878 3031022 3187506 3208442 4546533 4812663 9093066 9625326 10608577 11229547 21217154 22459094 31825731 32034767 33688641 46522409 63651462 64069534 67377282 93044818 96104301 136761803 139567227 192208602 224243369 273523606 279134454 325656863 410285409 448486738 651313726 672730107 820570818 929008243 957332621 976970589 1345460214 1858016486 1914665242 1953941178 2787024729 2871997863 3966092287 5574049458 5743995726 6503057701 7932184574 11898276861 13006115402 19509173103 23796553722 27762646009 39018346206 55525292018 83287938027 83834985239 166575876054 167669970478 251504955717 503009911434 586844896673 1173689793346 1760534690019 2431214571931 3521069380038 4862429143862 7293643715793 14587287431586 17018502003517 34037004007034 51055506010551 102111012021102