122122133133201 has 6 divisors (see below), whose sum is σ = 176398636747970. Its totient is φ = 81414755422128.

The previous prime is 122122133133197. The next prime is 122122133133239. The reversal of 122122133133201 is 102331331221221.

122122133133201 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 2 + 1 + 331 + 3 + 320 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111005083451025 + 11117049682176 = 10535895^2 + 3334224^2 .

It is not a de Polignac number, because 122122133133201 - 2² = 122122133133197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122133133241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6784562951836 + ... + 6784562951853.

Almost surely, 2^{122122133133201} is an apocalyptic number.

It is an amenable number.

122122133133201 is a deficient number, since it is larger than the sum of its proper divisors (54276503614769).

122122133133201 is a wasteful number, since it uses less digits than its factorization.

122122133133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569125903695 (or 13569125903692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122122133133201 its reverse (102331331221221), we get a palindrome (224453464354422).

The spelling of 122122133133201 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred one".