11102120200013 has 2 divisors, whose sum is σ = 11102120200014. Its totient is φ = 11102120200012.

The previous prime is 11102120199977. The next prime is 11102120200021. The reversal of 11102120200013 is 31000202120111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6901743731689 + 4200376468324 = 2627117^2 + 2049482^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102120200013 - 2¹⁰ = 11102120198989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102120200043) 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, 5551060100006 + 5551060100007.

It is an arithmetic number, because the mean of its divisors is an integer number (5551060100007).

Almost surely, 2^{11102120200013} is an apocalyptic number.

It is an amenable number.

11102120200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102120200013 is an equidigital number, since it uses as much as digits as its factorization.

11102120200013 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 11102120200013 its reverse (31000202120111), we get a palindrome (42102322320124).

The spelling of 11102120200013 in words is "eleven trillion, one hundred two billion, one hundred twenty million, two hundred thousand, thirteen".