10111100100093 has 12 divisors (see below), whose sum is σ = 14604949994908. Its totient is φ = 6740720648640.

The previous prime is 10111100100043. The next prime is 10111100100133. The reversal of 10111100100093 is 39000100111101.

It can be written as a sum of positive squares in 2 ways, for example, as 3599891486244 + 6511208613849 = 1897338^2 + 2551707^2 .

It is not a de Polignac number, because 10111100100093 - 2⁶ = 10111100100029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100100043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8314803 + ... + 9452943.

Almost surely, 2^{10111100100093} is an apocalyptic number.

It is an amenable number.

10111100100093 is a deficient number, since it is larger than the sum of its proper divisors (4493849894815).

10111100100093 is a wasteful number, since it uses less digits than its factorization.

10111100100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125244 (or 2125241 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 10111100100093 its reverse (39000100111101), we get a palindrome (49111200211194).

The spelling of 10111100100093 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred thousand, ninety-three".