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102112221002022 = 23371124558013709
BaseRepresentation
bin10111001101111011011010…
…101010001111100100100110
3111101112211111020202221122000
4113031323122222033210212
5101341001312034031042
61001101412353150130
730336236012341320
oct2715733252174446
9441484436687560
10102112221002022
112a599605771830
12b55204825b346
1344c91ab08009a
141b3038782c610
15bc128e85e74c
hex5cdedaa8f926

102112221002022 has 64 divisors (see below), whose sum is σ = 282908317939200. Its totient is φ = 26522654804640.

The previous prime is 102112221002009. The next prime is 102112221002023. The reversal of 102112221002022 is 220200122211201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112221001986 and 102112221002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112221002023) 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, 12279002697 + ... + 12279011012.

It is an arithmetic number, because the mean of its divisors is an integer number (4420442467800).

Almost surely, 2102112221002022 is an apocalyptic number.

102112221002022 is an abundant number, since it is smaller than the sum of its proper divisors (180796096937178).

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

102112221002022 is a wasteful number, since it uses less digits than its factorization.

102112221002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24558013738 (or 24558013732 counting only the distinct ones).

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

Adding to 102112221002022 its reverse (220200122211201), we get a palindrome (322312343213223).

The spelling of 102112221002022 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 24558013709 49116027418 73674041127 147348082254 171906095963 221022123381 270138150799 343812191926 442044246762 515718287889 540276301598 663066370143 810414452397 1031436575778 1326132740286 1547154863667 1620828904794 1890967055593 2431243357191 3094309727334 3781934111186 4641464591001 4862486714382 5672901166779 7293730071573 9282929182002 11345802333558 14587460143146 17018703500337 34037407000674 51056110501011 102112221002022