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102201012210 = 2351123101133319
BaseRepresentation
bin101111100101110100…
…1111010111111110010
3100202210120020100101110
41133023221322333302
53133301424342320
6114541150214150
710245431161503
oct1371351727762
9322716210343
10102201012210
113a385897160
1217982ab4356
139839806a2b
144d374c2baa
1529d25a65e0
hex17cba7aff2

102201012210 has 128 divisors (see below), whose sum is σ = 281981399040. Its totient is φ = 23463968000.

The previous prime is 102201012163. The next prime is 102201012239. The reversal of 102201012210 is 12210102201.

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, 699931 + ... + 833249.

It is an arithmetic number, because the mean of its divisors is an integer number (2202979680).

Almost surely, 2102201012210 is an apocalyptic number.

102201012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140990699520).

102201012210 is an abundant number, since it is smaller than the sum of its proper divisors (179780386830).

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

102201012210 is a wasteful number, since it uses less digits than its factorization.

102201012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133464.

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

Adding to 102201012210 its reverse (12210102201), we get a palindrome (114411114411).

The spelling of 102201012210 in words is "one hundred two billion, two hundred one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 101 110 115 138 165 202 230 253 303 330 345 505 506 606 690 759 1010 1111 1265 1515 1518 2222 2323 2530 3030 3333 3795 4646 5555 6666 6969 7590 11110 11615 13938 16665 23230 25553 33330 34845 51106 69690 76659 127765 133319 153318 255530 266638 383295 399957 666595 766590 799914 1333190 1466509 1999785 2933018 3066337 3999570 4399527 6132674 7332545 8799054 9199011 13465219 14665090 15331685 18398022 21997635 26930438 30663370 33729707 40395657 43995270 45995055 67326095 67459414 80791314 91990110 101189121 134652190 148117409 168648535 201978285 202378242 296234818 309700037 337297070 403956570 444352227 505945605 619400074 740587045 888704454 929100111 1011891210 1481174090 1548500185 1858200222 2221761135 3097000370 3406700407 4443522270 4645500555 6813400814 9291001110 10220101221 17033502035 20440202442 34067004070 51100506105 102201012210