100111110093 has 72 divisors (see below), whose sum is σ = 160286974848. Its totient is φ = 59943066624.

The previous prime is 100111110083. The next prime is 100111110107. The reversal of 100111110093 is 390011111001.

It is not a de Polignac number, because 100111110093 - 2²⁰ = 100110061517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175941913 + ... + 175942481.

It is an arithmetic number, because the mean of its divisors is an integer number (2226207984).

Almost surely, 2^100111110093 is an apocalyptic number.

It is an amenable number.

100111110093 is a deficient number, since it is larger than the sum of its proper divisors (60175864755).

100111110093 is an equidigital number, since it uses as much as digits as its factorization.

100111110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 679 counting only the distinct ones).

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

Adding to 100111110093 its reverse (390011111001), we get a palindrome (490122221094).

The spelling of 100111110093 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, ninety-three".