122102232121333 has 2 divisors, whose sum is σ = 122102232121334. Its totient is φ = 122102232121332.

The previous prime is 122102232121313. The next prime is 122102232121391. The reversal of 122102232121333 is 333121232201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82713968257284 + 39388263864049 = 9094722^2 + 6276007^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102232121333 - 2⁹ = 122102232120821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102232121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051116060666 + 61051116060667.

It is an arithmetic number, because the mean of its divisors is an integer number (61051116060667).

Almost surely, 2^{122102232121333} is an apocalyptic number.

It is an amenable number.

122102232121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102232121333 is an equidigital number, since it uses as much as digits as its factorization.

122102232121333 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 122102232121333 its reverse (333121232201221), we get a palindrome (455223464322554).

The spelling of 122102232121333 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-three".