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2122102022121 = 321717380173109
BaseRepresentation
bin11110111000010111001…
…000110001111111101001
321111212111221100020201200
4132320113020301333221
5234232031104201441
64302514043034413
7306213444365604
oct36702710617751
97455457306650
102122102022121
11748a842a5274
122a333b80ba09
13125162096ac3
14749d304b33b
153a3027997b6
hex1ee17231fe9

2122102022121 has 24 divisors (see below), whose sum is σ = 3264328346760. Its totient is φ = 1323818359296.

The previous prime is 2122102022063. The next prime is 2122102022123. The reversal of 2122102022121 is 1212202012212.

It is a happy number.

2122102022121 is a `hidden beast` number, since 212 + 210 + 2 + 0 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1781584257600 + 340517764521 = 1334760^2 + 583539^2 .

It is not a de Polignac number, because 2122102022121 - 27 = 2122102021993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122102022094 and 2122102022103.

It is not an unprimeable number, because it can be changed into a prime (2122102022123) 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, 40060086 + ... + 40113023.

It is an arithmetic number, because the mean of its divisors is an integer number (136013681115).

Almost surely, 22122102022121 is an apocalyptic number.

It is an amenable number.

2122102022121 is a deficient number, since it is larger than the sum of its proper divisors (1142226324639).

2122102022121 is a wasteful number, since it uses less digits than its factorization.

2122102022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80173305 (or 80173302 counting only the distinct ones).

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

Adding to 2122102022121 its reverse (1212202012212), we get a palindrome (3334304034333).

Subtracting from 2122102022121 its reverse (1212202012212), we obtain a palindrome (909900009909).

The spelling of 2122102022121 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 173 519 1557 2941 8823 26469 80173109 240519327 721557981 1362942853 4088828559 12266485677 13869947857 41609843571 124829530713 235789113569 707367340707 2122102022121