122211122113 has 2 divisors, whose sum is σ = 122211122114. Its totient is φ = 122211122112.

The previous prime is 122211122087. The next prime is 122211122119. The reversal of 122211122113 is 311221112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63749685169 + 58461436944 = 252487^2 + 241788^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211122113 - 2¹⁷ = 122210991041 is a prime.

It is a super-3 number, since 3×122211122113³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122211122119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105561056 + 61105561057.

It is an arithmetic number, because the mean of its divisors is an integer number (61105561057).

Almost surely, 2^122211122113 is an apocalyptic number.

It is an amenable number.

122211122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211122113 is an equidigital number, since it uses as much as digits as its factorization.

122211122113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 19.

Adding to 122211122113 its reverse (311221112221), we get a palindrome (433432234334).

The spelling of 122211122113 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred thirteen".