11101100000993 has 2 divisors, whose sum is σ = 11101100000994. Its totient is φ = 11101100000992.

The previous prime is 11101100000923. The next prime is 11101100001031. The reversal of 11101100000993 is 39900000110111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10855924497889 + 245175503104 = 3294833^2 + 495152^2 .

It is an emirp because it is prime and its reverse (39900000110111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11101100000993 - 2⁸ = 11101100000737 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 (11101100000923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550550000496 + 5550550000497.

It is an arithmetic number, because the mean of its divisors is an integer number (5550550000497).

Almost surely, 2^{11101100000993} is an apocalyptic number.

It is an amenable number.

11101100000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101100000993 is an equidigital number, since it uses as much as digits as its factorization.

11101100000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 11101100000993 in words is "eleven trillion, one hundred one billion, one hundred million, nine hundred ninety-three", and thus it is an aban number.