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222222022102081 is a prime number
BaseRepresentation
bin110010100001110000011000…
…101100000100110001000001
31002010211012212210200210112001
4302201300120230010301001
5213111341200124231311
62104343215420504001
764544003603512651
oct6241603054046101
91063735783623461
10222222022102081
1164896915184631
1220b101496ab001
1396cc5a6716281
143cc38634a8361
151aa57888be4c1
hexca1c18b04c41

222222022102081 has 2 divisors, whose sum is σ = 222222022102082. Its totient is φ = 222222022102080.

The previous prime is 222222022102019. The next prime is 222222022102117. The reversal of 222222022102081 is 180201220222222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186952569763600 + 35269452338481 = 13673060^2 + 5938809^2 .

It is a cyclic number.

It is not a de Polignac number, because 222222022102081 - 241 = 220022998846529 is a prime.

It is a super-2 number, since 2×2222220221020812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222222022132081) by changing a digit.

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 as a sum of consecutive naturals, namely, 111111011051040 + 111111011051041.

It is an arithmetic number, because the mean of its divisors is an integer number (111111011051041).

Almost surely, 2222222022102081 is an apocalyptic number.

It is an amenable number.

222222022102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222222022102081 is an equidigital number, since it uses as much as digits as its factorization.

222222022102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 222222022102081 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, twenty-two million, one hundred two thousand, eighty-one".