21152502221233 has 2 divisors, whose sum is σ = 21152502221234. Its totient is φ = 21152502221232.

The previous prime is 21152502221143. The next prime is 21152502221269. The reversal of 21152502221233 is 33212220525112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18378651943089 + 2773850278144 = 4287033^2 + 1665488^2 .

It is a cyclic number.

It is not a de Polignac number, because 21152502221233 - 2³⁷ = 21015063267761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21152502221195 and 21152502221204.

It is not a weakly prime, because it can be changed into another prime (21152502221293) 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, 10576251110616 + 10576251110617.

It is an arithmetic number, because the mean of its divisors is an integer number (10576251110617).

Almost surely, 2^{21152502221233} is an apocalyptic number.

It is an amenable number.

21152502221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21152502221233 is an equidigital number, since it uses as much as digits as its factorization.

21152502221233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 21152502221233 its reverse (33212220525112), we get a palindrome (54364722746345).

The spelling of 21152502221233 in words is "twenty-one trillion, one hundred fifty-two billion, five hundred two million, two hundred twenty-one thousand, two hundred thirty-three".