100100111100093 has 24 divisors (see below), whose sum is σ = 155714578507488. Its totient is φ = 61598765021472.

The previous prime is 100100111100029. The next prime is 100100111100127. The reversal of 100100111100093 is 390001111001001.

It is not a de Polignac number, because 100100111100093 - 2⁶ = 100100111100029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111100023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483055 + ... + 14571612.

It is an arithmetic number, because the mean of its divisors is an integer number (6488107437812).

Almost surely, 2^{100100111100093} is an apocalyptic number.

100100111100093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100100111100093 is a deficient number, since it is larger than the sum of its proper divisors (55614467407395).

100100111100093 is a wasteful number, since it uses less digits than its factorization.

100100111100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18102073 (or 18102070 counting only the distinct ones).

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

Adding to 100100111100093 its reverse (390001111001001), we get a palindrome (490101222101094).

The spelling of 100100111100093 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred thousand, ninety-three".