122533141335221 has 2 divisors, whose sum is σ = 122533141335222. Its totient is φ = 122533141335220.

The previous prime is 122533141335203. The next prime is 122533141335257.

122533141335221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108181841102500 + 14351300232721 = 10401050^2 + 3788311^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122533141335221 - 2²⁶ = 122533074226357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122533141335281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61266570667610 + 61266570667611.

It is an arithmetic number, because the mean of its divisors is an integer number (61266570667611).

Almost surely, 2^{122533141335221} is an apocalyptic number.

It is an amenable number.

122533141335221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533141335221 is an equidigital number, since it uses as much as digits as its factorization.

122533141335221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129600, while the sum is 38.

The spelling of 122533141335221 in words is "one hundred twenty-two trillion, five hundred thirty-three billion, one hundred forty-one million, three hundred thirty-five thousand, two hundred twenty-one".