10100100010003 has 4 divisors (see below), whose sum is σ = 10346443912728. Its totient is φ = 9853756107280.

The previous prime is 10100100009997. The next prime is 10100100010009. The reversal of 10100100010003 is 30001000100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10100100009997) and next prime (10100100010009).

It is a cyclic number.

It is not a de Polignac number, because 10100100010003 - 2³³ = 10091510075411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100100010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123171951301 + ... + 123171951382.

It is an arithmetic number, because the mean of its divisors is an integer number (2586610978182).

Almost surely, 2^{10100100010003} is an apocalyptic number.

10100100010003 is a deficient number, since it is larger than the sum of its proper divisors (246343902725).

10100100010003 is an equidigital number, since it uses as much as digits as its factorization.

10100100010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246343902724.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100100010003 its reverse (30001000100101), we get a palindrome (40101100110104).

The spelling of 10100100010003 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, three".