1100010001003 has 2 divisors, whose sum is σ = 1100010001004. Its totient is φ = 1100010001002.

The previous prime is 1100010001001. The next prime is 1100010001019. The reversal of 1100010001003 is 3001000100011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1100010001003 - 2¹ = 1100010001001 is a prime.

It is a super-2 number, since 2×1100010001003² (a number of 25 digits) contains 22 as substring.

Together with 1100010001001, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100010001001) 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 as a sum of consecutive naturals, namely, 550005000501 + 550005000502.

It is an arithmetic number, because the mean of its divisors is an integer number (550005000502).

Almost surely, 2^{1100010001003} is an apocalyptic number.

1100010001003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100010001003 is an equidigital number, since it uses as much as digits as its factorization.

1100010001003 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 1100010001003 its reverse (3001000100011), we get a palindrome (4101010101014).

The spelling of 1100010001003 in words is "one trillion, one hundred billion, ten million, one thousand, three".