21202221100033 has 2 divisors, whose sum is σ = 21202221100034. Its totient is φ = 21202221100032.

The previous prime is 21202221100009. The next prime is 21202221100051. The reversal of 21202221100033 is 33000112220212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13819300674624 + 7382920425409 = 3717432^2 + 2717153^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202221100033 - 2⁵ = 21202221100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21202221104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601110550016 + 10601110550017.

It is an arithmetic number, because the mean of its divisors is an integer number (10601110550017).

Almost surely, 2^{21202221100033} is an apocalyptic number.

It is an amenable number.

21202221100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202221100033 is an equidigital number, since it uses as much as digits as its factorization.

21202221100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21202221100033 its reverse (33000112220212), we get a palindrome (54202333320245).

The spelling of 21202221100033 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-one million, one hundred thousand, thirty-three".