21121033323293 has 2 divisors, whose sum is σ = 21121033323294. Its totient is φ = 21121033323292.

The previous prime is 21121033323227. The next prime is 21121033323319. The reversal of 21121033323293 is 39232333012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19946111735449 + 1174921587844 = 4466107^2 + 1083938^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121033323293 - 2²⁰ = 21121032274717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21121033322293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560516661646 + 10560516661647.

It is an arithmetic number, because the mean of its divisors is an integer number (10560516661647).

Almost surely, 2^{21121033323293} is an apocalyptic number.

It is an amenable number.

21121033323293 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121033323293 is an equidigital number, since it uses as much as digits as its factorization.

21121033323293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 21121033323293 in words is "twenty-one trillion, one hundred twenty-one billion, thirty-three million, three hundred twenty-three thousand, two hundred ninety-three".