122311234033201 has 2 divisors, whose sum is σ = 122311234033202. Its totient is φ = 122311234033200.

The previous prime is 122311234033169. The next prime is 122311234033237. The reversal of 122311234033201 is 102330432113221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92407846410000 + 29903387623201 = 9612900^2 + 5468399^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311234033201 - 2⁵ = 122311234033169 is a prime.

It is a super-2 number, since 2×122311234033201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122311234033201.

It is not a weakly prime, because it can be changed into another prime (122311234033291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61155617016600 + 61155617016601.

It is an arithmetic number, because the mean of its divisors is an integer number (61155617016601).

Almost surely, 2^{122311234033201} is an apocalyptic number.

It is an amenable number.

122311234033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311234033201 is an equidigital number, since it uses as much as digits as its factorization.

122311234033201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 122311234033201 its reverse (102330432113221), we get a palindrome (224641666146422).

The spelling of 122311234033201 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred thirty-four million, thirty-three thousand, two hundred one".