122310113311201 has 2 divisors, whose sum is σ = 122310113311202. Its totient is φ = 122310113311200.

The previous prime is 122310113311187. The next prime is 122310113311261. The reversal of 122310113311201 is 102113311013221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116206244010000 + 6103869301201 = 10779900^2 + 2470601^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310113311201 - 2⁷ = 122310113311073 is a prime.

It is not a weakly prime, because it can be changed into another prime (122310113311261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155056655600 + 61155056655601.

It is an arithmetic number, because the mean of its divisors is an integer number (61155056655601).

Almost surely, 2^{122310113311201} is an apocalyptic number.

It is an amenable number.

122310113311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310113311201 is an equidigital number, since it uses as much as digits as its factorization.

122310113311201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 122310113311201 its reverse (102113311013221), we get a palindrome (224423424324422).

The spelling of 122310113311201 in words is "one hundred twenty-two trillion, three hundred ten billion, one hundred thirteen million, three hundred eleven thousand, two hundred one".