122122131101021 has 2 divisors, whose sum is σ = 122122131101022. Its totient is φ = 122122131101020.

The previous prime is 122122131100987. The next prime is 122122131101053. The reversal of 122122131101021 is 120101131221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114644367398521 + 7477763702500 = 10707211^2 + 2734550^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122131101021 - 2³⁸ = 121847253194077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122131100984 and 122122131101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122131104021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061065550510 + 61061065550511.

It is an arithmetic number, because the mean of its divisors is an integer number (61061065550511).

Almost surely, 2^{122122131101021} is an apocalyptic number.

It is an amenable number.

122122131101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122131101021 is an equidigital number, since it uses as much as digits as its factorization.

122122131101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 122122131101021 its reverse (120101131221221), we get a palindrome (242223262322242).

The spelling of 122122131101021 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred one thousand, twenty-one".