122322211114121 has 2 divisors, whose sum is σ = 122322211114122. Its totient is φ = 122322211114120.

The previous prime is 122322211114109. The next prime is 122322211114157. The reversal of 122322211114121 is 121411112223221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76576413132025 + 45745797982096 = 8750795^2 + 6763564^2 .

It is a cyclic number.

It is not a de Polignac number, because 122322211114121 - 2¹⁰ = 122322211113097 is a prime.

It is a super-3 number, since 3×122322211114121³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122322211134121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61161105557060 + 61161105557061.

It is an arithmetic number, because the mean of its divisors is an integer number (61161105557061).

Almost surely, 2^{122322211114121} is an apocalyptic number.

It is an amenable number.

122322211114121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122322211114121 is an equidigital number, since it uses as much as digits as its factorization.

122322211114121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 768, while the sum is 26.

Adding to 122322211114121 its reverse (121411112223221), we get a palindrome (243733323337342).

The spelling of 122322211114121 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred eleven million, one hundred fourteen thousand, one hundred twenty-one".