100100110003 has 2 divisors, whose sum is σ = 100100110004. Its totient is φ = 100100110002.

The previous prime is 100100109911. The next prime is 100100110027. The reversal of 100100110003 is 300011001001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (300011001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110003 - 2⁹ = 100100109491 is a prime.

It is a super-2 number, since 2×100100110003² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100111003) 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 as a sum of consecutive naturals, namely, 50050055001 + 50050055002.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055002).

Almost surely, 2^100100110003 is an apocalyptic number.

100100110003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110003 is an equidigital number, since it uses as much as digits as its factorization.

100100110003 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 100100110003 its reverse (300011001001), we get a palindrome (400111111004).

The spelling of 100100110003 in words is "one hundred billion, one hundred million, one hundred ten thousand, three".