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102100010020122 = 234714940114394211
BaseRepresentation
bin10111001101110000000010…
…110101000010110100011010
3111101111122222020122210112010
4113031300002311002310122
5101340301310031120442
61001052032545330350
730335324266611102
oct2715600265026432
9441448866583463
10102100010020122
112a594409a07354
12b54b7ba9369b6
1344c7cb32b77ca
141b2d949bb0202
15bc0cc7815b9c
hex5cdc02d42d1a

102100010020122 has 128 divisors (see below), whose sum is σ = 210664157184000. Its totient is φ = 32972396672000.

The previous prime is 102100010020117. The next prime is 102100010020139. The reversal of 102100010020122 is 221020010001201.

It is a super-2 number, since 2×1021000100201222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100010020098 and 102100010020107.

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, 24246022597 + ... + 24246026807.

It is an arithmetic number, because the mean of its divisors is an integer number (1645813728000).

Almost surely, 2102100010020122 is an apocalyptic number.

102100010020122 is an abundant number, since it is smaller than the sum of its proper divisors (108564147163878).

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

102100010020122 is a wasteful number, since it uses less digits than its factorization.

102100010020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100010020122 its reverse (221020010001201), we get a palindrome (323120020021323).

The spelling of 102100010020122 in words is "one hundred two trillion, one hundred billion, ten million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 47 94 141 149 282 298 401 447 802 894 1203 1439 2406 2878 4211 4317 7003 8422 8634 12633 14006 18847 21009 25266 37694 42018 56541 59749 67633 113082 119498 135266 179247 197917 202899 214411 358494 395834 405798 428822 577039 593751 627439 643233 1154078 1187502 1254878 1286466 1688611 1731117 1882317 2808203 3377222 3462234 3764634 5065833 5616406 6059629 8424609 10077317 10131666 12119258 16849218 18178887 20154634 27120833 29489633 30231951 36357774 54241666 58979266 60463902 79364717 81362499 85978811 88468899 158729434 162724998 171957622 176937798 238094151 251603039 257936433 284802563 476188302 503206078 515872866 569605126 754809117 854407689 902884721 1509618234 1708815378 1805769442 2429911229 2708654163 4041004117 4859822458 5417308326 7289733687 8082008234 11825342833 12123012351 14579467374 23650685666 24246024702 35476028499 42435581887 70952056998 84871163774 114205827763 127306745661 228411655526 254613491322 342617483289 362056773121 685234966578 724113546242 1086170319363 2172340638726 17016668336687 34033336673374 51050005010061 102100010020122