122114112401 has 2 divisors, whose sum is σ = 122114112402. Its totient is φ = 122114112400.

The previous prime is 122114112353. The next prime is 122114112433. The reversal of 122114112401 is 104211411221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110024890000 + 12089222401 = 331700^2 + 109951^2 .

It is a cyclic number.

It is not a de Polignac number, because 122114112401 - 2²⁶ = 122047003537 is a prime.

It is not a weakly prime, because it can be changed into another prime (122114114401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61057056200 + 61057056201.

It is an arithmetic number, because the mean of its divisors is an integer number (61057056201).

Almost surely, 2^122114112401 is an apocalyptic number.

It is an amenable number.

122114112401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122114112401 is an equidigital number, since it uses as much as digits as its factorization.

122114112401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122114112401 its reverse (104211411221), we get a palindrome (226325523622).

The spelling of 122114112401 in words is "one hundred twenty-two billion, one hundred fourteen million, one hundred twelve thousand, four hundred one".