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102220121121102 = 23237473793860957
BaseRepresentation
bin10111001111011111111010…
…000000100010000101001110
3111101221010222222212220220200
4113033133322000202011032
5101344233302001333402
61001223135251154330
730350105615252055
oct2717377200420516
9441833888786820
10102220121121102
112a630345555266
12b56ab3b8a59a6
1345064155013aa
141b356a1b9739c
15bc3ea741521c
hex5cf7fa02214e

102220121121102 has 96 divisors (see below), whose sum is σ = 232363940844672. Its totient is φ = 32438507830272.

The previous prime is 102220121121091. The next prime is 102220121121127. The reversal of 102220121121102 is 201121121022201.

102220121121102 is a `hidden beast` number, since 102 + 220 + 121 + 121 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 118298008 + ... + 119158964.

It is an arithmetic number, because the mean of its divisors is an integer number (2420457717132).

Almost surely, 2102220121121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220121121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116181970422336).

102220121121102 is an abundant number, since it is smaller than the sum of its proper divisors (130143819723570).

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

102220121121102 is a wasteful number, since it uses less digits than its factorization.

102220121121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864842 (or 864839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102220121121102 its reverse (201121121022201), we get a palindrome (303341242143303).

The spelling of 102220121121102 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 666 846 1739 3478 3793 5217 7586 10434 11379 15651 22758 31302 34137 68274 140341 178271 280682 356542 421023 534813 842046 860957 1069626 1263069 1604439 1721914 2526138 2582871 3208878 5165742 6596027 7748613 13192054 15497226 19788081 31855409 39576162 40464979 59364243 63710818 80929958 95566227 118728486 121394937 191132454 242789874 286698681 364184811 573397362 728369622 1497204223 2994408446 3265609901 4491612669 6531219802 8983225338 9796829703 13474838007 19593659406 26949676014 29390489109 58780978218 120827566337 153483665347 241655132674 306967330694 362482699011 460450996041 724965398022 920901992082 1087448097033 1381352988123 2174896194066 2762705976246 5678895617839 11357791235678 17036686853517 34073373707034 51110060560551 102220121121102