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102002202110102 = 27375395316132417
BaseRepresentation
bin10111001100010100111101…
…000001011110100010010110
3111101011022111211211011102012
4113030110331001132202112
5101332201002220010402
61000535055330344222
730325262441235350
oct2714247501364226
9441138454734365
10102002202110102
112a556988998968
12b53486312b072
1344bb9c699a238
141b28d0bd2c0d0
15bbd4a0c84452
hex5cc53d05e896

102002202110102 has 128 divisors (see below), whose sum is σ = 183356706633984. Its totient is φ = 41644342591488.

The previous prime is 102002202110087. The next prime is 102002202110111. The reversal of 102002202110102 is 201011202200201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42201985598 + ... + 42201988014.

It is an arithmetic number, because the mean of its divisors is an integer number (1432474270578).

Almost surely, 2102002202110102 is an apocalyptic number.

102002202110102 is a deficient number, since it is larger than the sum of its proper divisors (81354504523882).

102002202110102 is a wasteful number, since it uses less digits than its factorization.

102002202110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002202110102 its reverse (201011202200201), we get a palindrome (303013404310303).

Subtracting 102002202110102 from its reverse (201011202200201), we obtain a palindrome (99009000090099).

The spelling of 102002202110102 in words is "one hundred two trillion, two billion, two hundred two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 7 14 37 53 74 106 259 371 518 742 953 1613 1906 1961 2417 3226 3922 4834 6671 11291 13342 13727 16919 22582 27454 33838 35261 50509 59681 70522 85489 89429 101018 119362 128101 170978 178858 246827 256202 353563 417767 493654 598423 626003 707126 835534 896707 1196846 1252006 1537189 1793414 1868833 2303401 3074378 3163093 3737666 3898621 4606802 4739737 6326186 7797242 9479474 10760323 13081831 16123807 21520646 22141651 26163662 27290347 32247614 33178159 44283302 54580694 56875993 66356318 81471017 85225837 113751986 122080253 144248977 162942034 170451674 206626913 244160506 288497954 398131951 413253826 570297119 596580859 796263902 854561771 1009742839 1140594238 1193161718 1446388391 1709123542 2019485678 2892776782 3014427629 3715385813 4516969361 6028855258 7430771626 7645195781 9033938722 15290391562 21100993403 26007700691 31618785527 42201986806 52015401382 53516370467 63237571054 107032740934 137469275081 196915448089 274938550162 393830896178 962284925567 1378408136623 1924569851134 2756816273246 7285871579293 14571743158586 51001101055051 102002202110102