21221010113 has 2 divisors, whose sum is σ = 21221010114. Its totient is φ = 21221010112.

The previous prime is 21221010077. The next prime is 21221010131. The reversal of 21221010113 is 31101012212.

Together with next prime (21221010131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16895580289 + 4325429824 = 129983^2 + 65768^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221010113 - 2¹² = 21221006017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21221090113) 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, 10610505056 + 10610505057.

It is an arithmetic number, because the mean of its divisors is an integer number (10610505057).

Almost surely, 2^21221010113 is an apocalyptic number.

It is an amenable number.

21221010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221010113 is an equidigital number, since it uses as much as digits as its factorization.

21221010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21221010113 its reverse (31101012212), we get a palindrome (52322022325).

The spelling of 21221010113 in words is "twenty-one billion, two hundred twenty-one million, ten thousand, one hundred thirteen".