21012022133329 has 2 divisors, whose sum is σ = 21012022133330. Its totient is φ = 21012022133328.

The previous prime is 21012022133257. The next prime is 21012022133351. The reversal of 21012022133329 is 92333122021012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20865162265600 + 146859867729 = 4567840^2 + 383223^2 .

It is a cyclic number.

It is not a de Polignac number, because 21012022133329 - 2²⁵ = 21011988578897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21012022133329.

It is not a weakly prime, because it can be changed into another prime (21012022137329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10506011066664 + 10506011066665.

It is an arithmetic number, because the mean of its divisors is an integer number (10506011066665).

Almost surely, 2^{21012022133329} is an apocalyptic number.

It is an amenable number.

21012022133329 is a deficient number, since it is larger than the sum of its proper divisors (1).

21012022133329 is an equidigital number, since it uses as much as digits as its factorization.

21012022133329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 21012022133329 in words is "twenty-one trillion, twelve billion, twenty-two million, one hundred thirty-three thousand, three hundred twenty-nine".