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102110012121020 = 225101683263328109
BaseRepresentation
bin10111001101111001010111…
…000000000001111110111100
3111101112121210022101011112112
4113031321113000001332330
5101340432301100333040
61001100405245153152
730336130201223111
oct2715712700017674
9441477708334475
10102110012121020
112a598681926842
12b55173055b7b8
1344c8c1855c2c7
141b3021831c908
15bc11b098b365
hex5cde57001fbc

102110012121020 has 96 divisors (see below), whose sum is σ = 216961252885440. Its totient is φ = 40363627673600.

The previous prime is 102110012120989. The next prime is 102110012121023. The reversal of 102110012121020 is 20121210011201.

It is a junction number, because it is equal to n+sod(n) for n = 102110012120986 and 102110012121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110012121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3632630726 + ... + 3632658834.

It is an arithmetic number, because the mean of its divisors is an integer number (2260013050890).

Almost surely, 2102110012121020 is an apocalyptic number.

102110012121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110012121020 is an abundant number, since it is smaller than the sum of its proper divisors (114851240764420).

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

102110012121020 is a wasteful number, since it uses less digits than its factorization.

102110012121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31535 (or 31533 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102110012121020 its reverse (20121210011201), we get a palindrome (122231222132221).

The spelling of 102110012121020 in words is "one hundred two trillion, one hundred ten billion, twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 683 1010 1366 2020 2633 2732 3415 5266 6830 10532 13165 13660 26330 28109 52660 56218 68983 112436 137966 140545 265933 275932 281090 344915 531866 562180 689830 1063732 1329665 1379660 1798339 2659330 2839009 3596678 5318660 5678018 7193356 8991695 11356036 14195045 17983390 19198447 28390090 35966780 38396894 56780180 74010997 76793788 95992235 148021994 181632239 191984470 296043988 363264478 370054985 383968940 726528956 740109970 908161195 1480219940 1816322390 1939043147 3632644780 3878086294 7475110697 7756172588 9695215735 14950221394 19390431470 29900442788 37375553485 38780862940 50549510951 74751106970 101099021902 149502213940 202198043804 252747554755 505495109510 1010990219020 5105500606051 10211001212102 20422002424204 25527503030255 51055006060510 102110012121020