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122102112010021 = 11133495471447193
BaseRepresentation
bin11011110000110100011101…
…000000110011111100100101
3121000022211220010101110020121
4123300310131000303330211
5112001010111133310041
61111404534052401541
734501405106355313
oct3360643500637445
9530284803343217
10122102112010021
11359a6240041520
121184025a3162b1
135319244c05040
142221ab92750b3
15e1b251ea87d1
hex6f0d1d033f25

122102112010021 has 32 divisors (see below), whose sum is σ = 143886279398400. Its totient is φ = 102150816422400.

The previous prime is 122102112009959. The next prime is 122102112010049. The reversal of 122102112010021 is 120010211201221.

It is a cyclic number.

It is not a de Polignac number, because 122102112010021 - 233 = 122093522075429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122102112009977 and 122102112010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102112019021) 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, 272817601 + ... + 273264793.

It is an arithmetic number, because the mean of its divisors is an integer number (4496446231200).

Almost surely, 2122102112010021 is an apocalyptic number.

122102112010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102112010021 is a deficient number, since it is larger than the sum of its proper divisors (21784167388379).

122102112010021 is a wasteful number, since it uses less digits than its factorization.

122102112010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453037.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122102112010021 its reverse (120010211201221), we get a palindrome (242112323211242).

The spelling of 122102112010021 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twelve million, ten thousand, twenty-one".

Divisors: 1 11 13 143 349 3839 4537 5471 49907 60181 71123 447193 782353 1909379 4919123 5813509 21003169 24821927 63948599 156070357 273041197 1716773927 2028914641 2446592903 22318061051 26912521933 31805707739 349862785129 853860923147 9392470154617 11100192000911 122102112010021