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102221012202012 = 223211997258910601
BaseRepresentation
bin10111001111100000101111…
…000111101111001000011100
3111101221020022002121112010100
4113033200233013233020130
5101344242113110431022
61001223403522141100
730350136655312434
oct2717405707571034
9441836262545110
10102221012202012
112a630762545570
12b56b14a1b1790
134506527cc41c2
141b357482712c4
15bc400a77e1ac
hex5cf82f1ef21c

102221012202012 has 72 divisors (see below), whose sum is σ = 282164916629232. Its totient is φ = 30944994912000.

The previous prime is 102221012201969. The next prime is 102221012202017. The reversal of 102221012202012 is 210202210122201.

It is a happy number.

102221012202012 is a `hidden beast` number, since 10 + 22 + 210 + 1 + 220 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221012202017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129060489 + ... + 129850112.

It is an arithmetic number, because the mean of its divisors is an integer number (3918957175406).

Almost surely, 2102221012202012 is an apocalyptic number.

102221012202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221012202012 is an abundant number, since it is smaller than the sum of its proper divisors (179943904427220).

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

102221012202012 is a wasteful number, since it uses less digits than its factorization.

102221012202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258911619 (or 258911614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221012202012 its reverse (210202210122201), we get a palindrome (312423222324213).

The spelling of 102221012202012 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 997 1994 2991 3988 5982 8973 10967 11964 17946 21934 32901 35892 43868 65802 98703 131604 197406 394812 258910601 517821202 776731803 1035642404 1553463606 2330195409 2848016611 3106927212 4660390818 5696033222 8544049833 9320781636 11392066444 17088099666 25632149499 34176199332 51264298998 102528597996 258133869197 516267738394 774401607591 1032535476788 1548803215182 2323204822773 2839472561167 3097606430364 4646409645546 5678945122334 8518417683501 9292819291092 11357890244668 17036835367002 25555253050503 34073670734004 51110506101006 102221012202012