21100110013 has 2 divisors, whose sum is σ = 21100110014. Its totient is φ = 21100110012.

The previous prime is 21100109959. The next prime is 21100110049. The reversal of 21100110013 is 31001100112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10858265209 + 10241844804 = 104203^2 + 101202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100110013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550055006 + 10550055007.

It is an arithmetic number, because the mean of its divisors is an integer number (10550055007).

Almost surely, 2^21100110013 is an apocalyptic number.

It is an amenable number.

21100110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100110013 is an equidigital number, since it uses as much as digits as its factorization.

21100110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 21100110013 its reverse (31001100112), we get a palindrome (52101210125).

Subtracting 21100110013 from its reverse (31001100112), we obtain a palindrome (9900990099).

The spelling of 21100110013 in words is "twenty-one billion, one hundred million, one hundred ten thousand, thirteen".