100110000103 has 8 divisors (see below), whose sum is σ = 100312814448. Its totient is φ = 99907387584.

The previous prime is 100110000097. The next prime is 100110000173. The reversal of 100110000103 is 301000011001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110000103 - 2¹⁷ = 100109869031 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000173) 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 7 ways as a sum of consecutive naturals, for example, 963075 + ... + 1061947.

It is an arithmetic number, because the mean of its divisors is an integer number (12539101806).

Almost surely, 2^100110000103 is an apocalyptic number.

100110000103 is a deficient number, since it is larger than the sum of its proper divisors (202814345).

100110000103 is an equidigital number, since it uses as much as digits as its factorization.

100110000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100913.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100110000103 its reverse (301000011001), we get a palindrome (401110011104).

The spelling of 100110000103 in words is "one hundred billion, one hundred ten million, one hundred three", and thus it is an aban number.