122100122021081 has 2 divisors, whose sum is σ = 122100122021082. Its totient is φ = 122100122021080.

The previous prime is 122100122020993. The next prime is 122100122021107. The reversal of 122100122021081 is 180120221001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121728942551056 + 371179470025 = 11033084^2 + 609245^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100122021081 - 2⁴⁶ = 51731377843417 is a prime.

It is a super-2 number, since 2×122100122021081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122100122021981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050061010540 + 61050061010541.

It is an arithmetic number, because the mean of its divisors is an integer number (61050061010541).

Almost surely, 2^{122100122021081} is an apocalyptic number.

It is an amenable number.

122100122021081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100122021081 is an equidigital number, since it uses as much as digits as its factorization.

122100122021081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 122100122021081 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, twenty-one thousand, eighty-one".