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222011122121081 is a prime number
BaseRepresentation
bin110010011110101011111110…
…000100011111100101111001
31002010002001111211011201001122
4302132223332010133211321
5213044412234230333311
62104102300154155025
764522526366324456
oct6236537604374571
91063061454151048
10222011122121081
116481542a68a377
1220a972ab722a75
1396b573611bac7
143cb757791082d
151aa00435660db
hexc9eafe11f979

222011122121081 has 2 divisors, whose sum is σ = 222011122121082. Its totient is φ = 222011122121080.

The previous prime is 222011122121057. The next prime is 222011122121123. The reversal of 222011122121081 is 180121221110222.

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., 140026988890000 + 81984133231081 = 11833300^2 + 9054509^2 .

It is a cyclic number.

It is not a de Polignac number, because 222011122121081 - 26 = 222011122121017 is a prime.

It is a super-2 number, since 2×2220111221210812 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222011122121081.

It is not a weakly prime, because it can be changed into another prime (222011122121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111005561060540 + 111005561060541.

It is an arithmetic number, because the mean of its divisors is an integer number (111005561060541).

Almost surely, 2222011122121081 is an apocalyptic number.

It is an amenable number.

222011122121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222011122121081 is an equidigital number, since it uses as much as digits as its factorization.

222011122121081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 222011122121081 in words is "two hundred twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, eighty-one".