12221220122081 has 2 divisors, whose sum is σ = 12221220122082. Its totient is φ = 12221220122080.

The previous prime is 12221220122039. The next prime is 12221220122113. The reversal of 12221220122081 is 18022102212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6592487597056 + 5628732525025 = 2567584^2 + 2372495^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221220122081 - 2²² = 12221215927777 is a prime.

It is a super-2 number, since 2×12221220122081² (a number of 27 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 12221220122081.

It is not a weakly prime, because it can be changed into another prime (12221220112081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110610061040 + 6110610061041.

It is an arithmetic number, because the mean of its divisors is an integer number (6110610061041).

Almost surely, 2^{12221220122081} is an apocalyptic number.

It is an amenable number.

12221220122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221220122081 is an equidigital number, since it uses as much as digits as its factorization.

12221220122081 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 12221220122081 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, eighty-one".