10011100103 has 16 divisors (see below), whose sum is σ = 10448455680. Its totient is φ = 9581124000.

The previous prime is 10011100087. The next prime is 10011100123. The reversal of 10011100103 is 30100111001.

10011100103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011100103 - 2⁴ = 10011100087 is a prime.

It is a super-2 number, since 2×10011100103² (a number of 21 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 (10011100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4278908 + ... + 4281246.

It is an arithmetic number, because the mean of its divisors is an integer number (653028480).

Almost surely, 2^10011100103 is an apocalyptic number.

10011100103 is a deficient number, since it is larger than the sum of its proper divisors (437355577).

10011100103 is a wasteful number, since it uses less digits than its factorization.

10011100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838.

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

Adding to 10011100103 its reverse (30100111001), we get a palindrome (40111211104).

The spelling of 10011100103 in words is "ten billion, eleven million, one hundred thousand, one hundred three".