10100111212013 has 2 divisors, whose sum is σ = 10100111212014. Its totient is φ = 10100111212012.

The previous prime is 10100111211961. The next prime is 10100111212039. The reversal of 10100111212013 is 31021211100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8855641560649 + 1244469651364 = 2975843^2 + 1115558^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111212013 - 2²² = 10100107017709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111211013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055606006 + 5050055606007.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055606007).

Almost surely, 2^{10100111212013} is an apocalyptic number.

It is an amenable number.

10100111212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111212013 is an equidigital number, since it uses as much as digits as its factorization.

10100111212013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10100111212013 its reverse (31021211100101), we get a palindrome (41121322312114).

The spelling of 10100111212013 in words is "ten trillion, one hundred billion, one hundred eleven million, two hundred twelve thousand, thirteen".