101100100000103 has 16 divisors (see below), whose sum is σ = 103331176166400. Its totient is φ = 98872366218336.

The previous prime is 101100100000063. The next prime is 101100100000111. The reversal of 101100100000103 is 301000001001101.

It is a cyclic number.

It is not a de Polignac number, because 101100100000103 - 2¹⁰ = 101100099999079 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 (101100100000703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1432525325 + ... + 1432595897.

It is an arithmetic number, because the mean of its divisors is an integer number (6458198510400).

Almost surely, 2^{101100100000103} is an apocalyptic number.

101100100000103 is a deficient number, since it is larger than the sum of its proper divisors (2231076166297).

101100100000103 is a wasteful number, since it uses less digits than its factorization.

101100100000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93806.

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

Adding to 101100100000103 its reverse (301000001001101), we get a palindrome (402100101001204).

The spelling of 101100100000103 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred three", and thus it is an aban number.