100000000000003 has 16 divisors (see below), whose sum is σ = 108836001356800. Its totient is φ = 91531253737440.

The previous prime is 99999999999973. The next prime is 100000000000031. The reversal of 100000000000003 is 300000000000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100000000000003 - 2⁵ = 99999999999971 is a prime.

It is a Duffinian number.

100000000000003 is a modest number, since divided by 3 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 99999999999884 and 100000000000001.

It is not an unprimeable number, because it can be changed into a prime (100000000000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138121233 + ... + 138843346.

It is an arithmetic number, because the mean of its divisors is an integer number (6802250084800).

Almost surely, 2^{100000000000003} is an apocalyptic number.

100000000000003 is a deficient number, since it is larger than the sum of its proper divisors (8836001356797).

100000000000003 is a wasteful number, since it uses less digits than its factorization.

100000000000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276965242.

The product of its (nonzero) digits is 3, while the sum is 4.

Adding to 100000000000003 its reverse (300000000000001), we get a palindrome (400000000000004).

The spelling of 100000000000003 in words is "one hundred trillion, three", and thus it is an aban number.