122111220122113 has 2 divisors, whose sum is σ = 122111220122114. Its totient is φ = 122111220122112.

The previous prime is 122111220122077. The next prime is 122111220122149. The reversal of 122111220122113 is 311221022111221.

It is a balanced prime because it is at equal distance from previous prime (122111220122077) and next prime (122111220122149).

It can be written as a sum of positive squares in only one way, i.e., 72619319759809 + 49491900362304 = 8521697^2 + 7035048^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111220122113 - 2²⁹ = 122110683251201 is a prime.

It is a super-2 number, since 2×122111220122113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111220122173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055610061056 + 61055610061057.

It is an arithmetic number, because the mean of its divisors is an integer number (61055610061057).

Almost surely, 2^{122111220122113} is an apocalyptic number.

It is an amenable number.

122111220122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111220122113 is an equidigital number, since it uses as much as digits as its factorization.

122111220122113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 122111220122113 its reverse (311221022111221), we get a palindrome (433332242233334).

The spelling of 122111220122113 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty-two thousand, one hundred thirteen".