122114242324001 has 2 divisors, whose sum is σ = 122114242324002. Its totient is φ = 122114242324000.

The previous prime is 122114242323979. The next prime is 122114242324033. The reversal of 122114242324001 is 100423242411221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66168853811776 + 55945388512225 = 8134424^2 + 7479665^2 .

It is an emirp because it is prime and its reverse (100423242411221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122114242324001 - 2³⁰ = 122113168582177 is a prime.

It is not a weakly prime, because it can be changed into another prime (122114244324001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61057121162000 + 61057121162001.

It is an arithmetic number, because the mean of its divisors is an integer number (61057121162001).

Almost surely, 2^{122114242324001} is an apocalyptic number.

It is an amenable number.

122114242324001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122114242324001 is an equidigital number, since it uses as much as digits as its factorization.

122114242324001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 122114242324001 its reverse (100423242411221), we get a palindrome (222537484735222).

The spelling of 122114242324001 in words is "one hundred twenty-two trillion, one hundred fourteen billion, two hundred forty-two million, three hundred twenty-four thousand, one".