122020122201121 has 2 divisors, whose sum is σ = 122020122201122. Its totient is φ = 122020122201120.

The previous prime is 122020122201097. The next prime is 122020122201151. The reversal of 122020122201121 is 121102221020221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74648494084096 + 47371628117025 = 8639936^2 + 6882705^2 .

It is a cyclic number.

It is not a de Polignac number, because 122020122201121 - 2¹³ = 122020122192929 is a prime.

It is not a weakly prime, because it can be changed into another prime (122020122201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010061100560 + 61010061100561.

It is an arithmetic number, because the mean of its divisors is an integer number (61010061100561).

Almost surely, 2^{122020122201121} is an apocalyptic number.

It is an amenable number.

122020122201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020122201121 is an equidigital number, since it uses as much as digits as its factorization.

122020122201121 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 19.

Adding to 122020122201121 its reverse (121102221020221), we get a palindrome (243122343221342).

The spelling of 122020122201121 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".