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22121020222181 is a prime number
BaseRepresentation
bin1010000011110011100111…
…00011010110101011100101
32220022202012221012121211222
411001321303203112223211
510344412322134102211
6115014131214310125
74442122334316026
oct501716343265345
986282187177758
1022121020222181
117059521248a71
122593250ab8345
13c460071ccc1a
1456693d746c4d
152856426921db
hex141e738d6ae5

22121020222181 has 2 divisors, whose sum is σ = 22121020222182. Its totient is φ = 22121020222180.

The previous prime is 22121020222163. The next prime is 22121020222261. The reversal of 22121020222181 is 18122202012122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11311450562500 + 10809569659681 = 3363250^2 + 3287791^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121020222181 - 214 = 22121020205797 is a prime.

It is a super-2 number, since 2×221210202221812 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22121020222181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121020422181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060510111090 + 11060510111091.

It is an arithmetic number, because the mean of its divisors is an integer number (11060510111091).

Almost surely, 222121020222181 is an apocalyptic number.

It is an amenable number.

22121020222181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121020222181 is an equidigital number, since it uses as much as digits as its factorization.

22121020222181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 22121020222181 in words is "twenty-two trillion, one hundred twenty-one billion, twenty million, two hundred twenty-two thousand, one hundred eighty-one".