100000111100103 has 48 divisors (see below), whose sum is σ = 150199191324000. Its totient is φ = 64035021523200.

The previous prime is 100000111100063. The next prime is 100000111100117. The reversal of 100000111100103 is 301001111000001.

It is not a de Polignac number, because 100000111100103 - 2⁹ = 100000111099591 is a prime.

It is a super-2 number, since 2×100000111100103² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000111120103) 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 in 47 ways as a sum of consecutive naturals, for example, 76431673 + ... + 77729021.

It is an arithmetic number, because the mean of its divisors is an integer number (3129149819250).

Almost surely, 2^{100000111100103} is an apocalyptic number.

100000111100103 is a deficient number, since it is larger than the sum of its proper divisors (50199080223897).

100000111100103 is a wasteful number, since it uses less digits than its factorization.

100000111100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298912 (or 1298909 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100000111100103 its reverse (301001111000001), we get a palindrome (401001222100104).

The spelling of 100000111100103 in words is "one hundred trillion, one hundred eleven million, one hundred thousand, one hundred three".