122114324310401 has 2 divisors, whose sum is σ = 122114324310402. Its totient is φ = 122114324310400.

The previous prime is 122114324310383. The next prime is 122114324310421. The reversal of 122114324310401 is 104013423411221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122114323786225 + 524176 = 11050535^2 + 724^2 .

It is a cyclic number.

It is not a de Polignac number, because 122114324310401 - 2⁶ = 122114324310337 is a prime.

It is not a weakly prime, because it can be changed into another prime (122114324310421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61057162155200 + 61057162155201.

It is an arithmetic number, because the mean of its divisors is an integer number (61057162155201).

Almost surely, 2^{122114324310401} is an apocalyptic number.

It is an amenable number.

122114324310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122114324310401 is an equidigital number, since it uses as much as digits as its factorization.

122114324310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 122114324310401 its reverse (104013423411221), we get a palindrome (226127747721622).

The spelling of 122114324310401 in words is "one hundred twenty-two trillion, one hundred fourteen billion, three hundred twenty-four million, three hundred ten thousand, four hundred one".