1001100010003 has 2 divisors, whose sum is σ = 1001100010004. Its totient is φ = 1001100010002.

The previous prime is 1001100009997. The next prime is 1001100010007. The reversal of 1001100010003 is 3000100011001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001100010003 - 2⁹ = 1001100009491 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001100010007) 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 as a sum of consecutive naturals, namely, 500550005001 + 500550005002.

It is an arithmetic number, because the mean of its divisors is an integer number (500550005002).

Almost surely, 2^{1001100010003} is an apocalyptic number.

1001100010003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100010003 is an equidigital number, since it uses as much as digits as its factorization.

1001100010003 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 7.

Adding to 1001100010003 its reverse (3000100011001), we get a palindrome (4001200021004).

The spelling of 1001100010003 in words is "one trillion, one billion, one hundred million, ten thousand, three".