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222211211001121 is a prime number
BaseRepresentation
bin110010100001100110010100…
…010010111111110100100001
31002010210011222100200222001101
4302201212110102333310201
5213111202030004013441
62104334230541234401
764543141646621116
oct6241462422776441
91063704870628041
10222211211001121
1164892277637451
1220b0a030b62a01
1396cb57298a204
143cc311972a90d
151aa53546e5231
hexca19944bfd21

222211211001121 has 2 divisors, whose sum is σ = 222211211001122. Its totient is φ = 222211211001120.

The previous prime is 222211211001119. The next prime is 222211211001139. The reversal of 222211211001121 is 121100112112222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148021653952225 + 74189557048896 = 12166415^2 + 8613336^2 .

It is a cyclic number.

It is not a de Polignac number, because 222211211001121 - 21 = 222211211001119 is a prime.

Together with 222211211001119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (222211211001721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111105605500560 + 111105605500561.

It is an arithmetic number, because the mean of its divisors is an integer number (111105605500561).

Almost surely, 2222211211001121 is an apocalyptic number.

It is an amenable number.

222211211001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222211211001121 is an equidigital number, since it uses as much as digits as its factorization.

222211211001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 222211211001121 its reverse (121100112112222), we get a palindrome (343311323113343).

The spelling of 222211211001121 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred eleven million, one thousand, one hundred twenty-one".