100100010003 has 24 divisors (see below), whose sum is σ = 155270043792. Its totient is φ = 57195258624.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010003 is 300010001001.

It is not a de Polignac number, because 100100010003 - 2⁶ = 100100009939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100009973 and 100100010000.

It is not an unprimeable number, because it can be changed into a prime (100100010053) 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 23 ways as a sum of consecutive naturals, for example, 2540751 + ... + 2579847.

It is an arithmetic number, because the mean of its divisors is an integer number (6469585158).

Almost surely, 2^100100010003 is an apocalyptic number.

100100010003 is a deficient number, since it is larger than the sum of its proper divisors (55170033789).

100100010003 is a wasteful number, since it uses less digits than its factorization.

100100010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56531 (or 56524 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 100100010003 its reverse (300010001001), we get a palindrome (400110011004).

The spelling of 100100010003 in words is "one hundred billion, one hundred million, ten thousand, three".