100100111003 has 2 divisors, whose sum is σ = 100100111004. Its totient is φ = 100100111002.

The previous prime is 100100110987. The next prime is 100100111011. The reversal of 100100111003 is 300111001001.

It is an a-pointer prime, because the next prime (100100111011) can be obtained adding 100100111003 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100111003 - 2⁴ = 100100110987 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100111303) 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, 50050055501 + 50050055502.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055502).

Almost surely, 2^100100111003 is an apocalyptic number.

100100111003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111003 is an equidigital number, since it uses as much as digits as its factorization.

100100111003 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 8.

Adding to 100100111003 its reverse (300111001001), we get a palindrome (400211112004).

The spelling of 100100111003 in words is "one hundred billion, one hundred million, one hundred eleven thousand, three".