10000100003 has 2 divisors, whose sum is σ = 10000100004. Its totient is φ = 10000100002.

The previous prime is 10000099999. The next prime is 10000100023. The reversal of 10000100003 is 30000100001.

It is a weak prime.

It is an emirp because it is prime and its reverse (30000100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100003 - 2² = 10000099999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100003.

It is not a weakly prime, because it can be changed into another prime (10000100023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050001 + 5000050002.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050002).

Almost surely, 2^10000100003 is an apocalyptic number.

10000100003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100003 is an equidigital number, since it uses as much as digits as its factorization.

10000100003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10000100003 its reverse (30000100001), we get a palindrome (40000200004).

The spelling of 10000100003 in words is "ten billion, one hundred thousand, three".