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122101111110102 = 23476179661135929
BaseRepresentation
bin11011110000110011100001…
…010110101011100111010110
3121000022202022101000110200020
4123300303201112223213112
5112001001033421010402
61111404250455530010
734501341234015615
oct3360634126534726
9530282271013606
10122101111110102
11359a5877063603
121184001b089906
135319115741377
142221a2237187c
15e1b1e419a8bc
hex6f0ce15ab9d6

122101111110102 has 128 divisors (see below), whose sum is σ = 257085431193600. Its totient is φ = 38626605388800.

The previous prime is 122101111110101. The next prime is 122101111110161. The reversal of 122101111110102 is 201011111101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101111110101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898203274 + ... + 898339202.

It is an arithmetic number, because the mean of its divisors is an integer number (2008479931200).

Almost surely, 2122101111110102 is an apocalyptic number.

122101111110102 is an abundant number, since it is smaller than the sum of its proper divisors (134984320083498).

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

122101111110102 is a wasteful number, since it uses less digits than its factorization.

122101111110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136782.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122101111110102 its reverse (201011111101221), we get a palindrome (323112222211323).

The spelling of 122101111110102 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 47 61 79 94 122 141 158 183 237 282 366 474 661 1322 1983 2867 3713 3966 4819 5734 7426 8601 9638 11139 14457 17202 22278 28914 31067 40321 52219 62134 80642 93201 104438 120963 135929 156657 186402 226493 241926 271858 313314 407787 452986 679479 815574 1358958 1895087 2454293 3185359 3790174 4908586 5685261 6370718 6388663 7362879 8291669 9556077 10738391 11370522 12777326 14725758 16583338 19112154 19165989 21476782 24875007 32215173 38331978 49750014 64430346 89849069 149711873 179698138 269547207 299423746 389708443 449135619 504704377 539094414 655041851 779416886 898271238 1009408754 1169125329 1310083702 1514113131 1965125553 2338250658 3028226262 3930251106 4222906243 5480793209 7098076451 8445812486 10961586418 12668718729 14196152902 16442379627 21294229353 25337437458 30786966997 32884759254 42588458706 61573933994 92360900991 184721801982 257597280823 333609593197 432982663511 515194561646 667219186394 772791842469 865965327022 1000828779591 1298947990533 1545583684938 2001657559182 2597895981066 20350185185017 40700370370034 61050555555051 122101111110102