10021111210013 has 2 divisors, whose sum is σ = 10021111210014. Its totient is φ = 10021111210012.

The previous prime is 10021111209959. The next prime is 10021111210049. The reversal of 10021111210013 is 31001211112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5080506984004 + 4940604226009 = 2253998^2 + 2222747^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021111210013 - 2¹⁰ = 10021111208989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021111210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021111210213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010555605006 + 5010555605007.

It is an arithmetic number, because the mean of its divisors is an integer number (5010555605007).

Almost surely, 2^{10021111210013} is an apocalyptic number.

It is an amenable number.

10021111210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021111210013 is an equidigital number, since it uses as much as digits as its factorization.

10021111210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10021111210013 its reverse (31001211112001), we get a palindrome (41022322322014).

The spelling of 10021111210013 in words is "ten trillion, twenty-one billion, one hundred eleven million, two hundred ten thousand, thirteen".