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101220010122 = 23711241909091
BaseRepresentation
bin101111001000100101…
…1101100100010001010
3100200021012022021111210
41132101023230202022
53124244310310442
6114255544033550
710212216614220
oct1362113544212
9320235267453
10101220010122
1139a22069830
121774a4628b6
1397114bbb1a
144c830bcb10
1529763c919c
hex17912ec88a

101220010122 has 64 divisors (see below), whose sum is σ = 253440304128. Its totient is φ = 26181792000.

The previous prime is 101220010117. The next prime is 101220010141. The reversal of 101220010122 is 221010022101.

It is a super-3 number, since 3×1012200101223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101220010098 and 101220010107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343204 + ... + 565887.

It is an arithmetic number, because the mean of its divisors is an integer number (3960004752).

Almost surely, 2101220010122 is an apocalyptic number.

101220010122 is an abundant number, since it is smaller than the sum of its proper divisors (152220294006).

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

101220010122 is a wasteful number, since it uses less digits than its factorization.

101220010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909355.

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

Adding to 101220010122 its reverse (221010022101), we get a palindrome (322230032223).

It can be divided in two parts, 1012200 and 10122, that multiplied together give a square (10245488400 = 1012202).

The spelling of 101220010122 in words is "one hundred one billion, two hundred twenty million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2651 3374 5061 5302 7953 10122 15906 18557 37114 55671 111342 909091 1818182 2727273 5454546 6363637 10000001 12727274 19090911 20000002 30000003 38181822 60000006 70000007 140000014 210000021 219090931 420000042 438181862 657272793 1314545586 1533636517 2410000241 3067273034 4600909551 4820000482 7230000723 9201819102 14460001446 16870001687 33740003374 50610005061 101220010122