122103332011121 has 2 divisors, whose sum is σ = 122103332011122. Its totient is φ = 122103332011120.

The previous prime is 122103332011097. The next prime is 122103332011163. The reversal of 122103332011121 is 121110233301221.

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., 110782697912896 + 11320634098225 = 10525336^2 + 3364615^2 .

It is a cyclic number.

It is not a de Polignac number, because 122103332011121 - 2¹⁴ = 122103331994737 is a prime.

It is not a weakly prime, because it can be changed into another prime (122103332013121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051666005560 + 61051666005561.

It is an arithmetic number, because the mean of its divisors is an integer number (61051666005561).

Almost surely, 2^{122103332011121} is an apocalyptic number.

It is an amenable number.

122103332011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103332011121 is an equidigital number, since it uses as much as digits as its factorization.

122103332011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 122103332011121 its reverse (121110233301221), we get a palindrome (243213565312342).

The spelling of 122103332011121 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirty-two million, eleven thousand, one hundred twenty-one".