12211122010081 has 2 divisors, whose sum is σ = 12211122010082. Its totient is φ = 12211122010080.

The previous prime is 12211122010007. The next prime is 12211122010111. The reversal of 12211122010081 is 18001022111221.

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., 8245029845056 + 3966092165025 = 2871416^2 + 1991505^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211122010081 - 2⁴¹ = 10012098754529 is a prime.

It is a super-2 number, since 2×12211122010081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211122010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561005040 + 6105561005041.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561005041).

Almost surely, 2^{12211122010081} is an apocalyptic number.

It is an amenable number.

12211122010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122010081 is an equidigital number, since it uses as much as digits as its factorization.

12211122010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 12211122010081 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, ten thousand, eighty-one".