221200122211181 has 2 divisors, whose sum is σ = 221200122211182. Its totient is φ = 221200122211180.

The previous prime is 221200122211093. The next prime is 221200122211193. The reversal of 221200122211181 is 181112221002122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150442735560100 + 70757386651081 = 12265510^2 + 8411741^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200122211181 - 2²² = 221200118016877 is a prime.

It is a super-2 number, since 2×221200122211181² (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 221200122211181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221200122210181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600061105590 + 110600061105591.

It is an arithmetic number, because the mean of its divisors is an integer number (110600061105591).

Almost surely, 2^{221200122211181} is an apocalyptic number.

It is an amenable number.

221200122211181 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200122211181 is an equidigital number, since it uses as much as digits as its factorization.

221200122211181 is an evil number, because the sum of its binary digits is even.

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

The spelling of 221200122211181 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred eighty-one".