122311010100121 has 2 divisors, whose sum is σ = 122311010100122. Its totient is φ = 122311010100120.

The previous prime is 122311010100109. The next prime is 122311010100143. The reversal of 122311010100121 is 121001010113221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118148638944400 + 4162371155721 = 10869620^2 + 2040189^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311010100121 - 2⁵ = 122311010100089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122311010100095 and 122311010100104.

It is not a weakly prime, because it can be changed into another prime (122311010100421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155505050060 + 61155505050061.

It is an arithmetic number, because the mean of its divisors is an integer number (61155505050061).

Almost surely, 2^{122311010100121} is an apocalyptic number.

It is an amenable number.

122311010100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311010100121 is an equidigital number, since it uses as much as digits as its factorization.

122311010100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122311010100121 its reverse (121001010113221), we get a palindrome (243312020213342).

The spelling of 122311010100121 in words is "one hundred twenty-two trillion, three hundred eleven billion, ten million, one hundred thousand, one hundred twenty-one".