100110100103 has 32 divisors (see below), whose sum is σ = 115220044800. Its totient is φ = 86213102976.

The previous prime is 100110100091. The next prime is 100110100159. The reversal of 100110100103 is 301001011001.

It is not a de Polignac number, because 100110100103 - 2⁴ = 100110100087 is a prime.

It is a super-2 number, since 2×100110100103² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740200 + ... + 7753122.

It is an arithmetic number, because the mean of its divisors is an integer number (3600626400).

Almost surely, 2^100110100103 is an apocalyptic number.

100110100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100110100103 is a deficient number, since it is larger than the sum of its proper divisors (15109944697).

100110100103 is a wasteful number, since it uses less digits than its factorization.

100110100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13431.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100110100103 its reverse (301001011001), we get a palindrome (401111111104).

The spelling of 100110100103 in words is "one hundred billion, one hundred ten million, one hundred thousand, one hundred three".