100110001010003 has 2 divisors, whose sum is σ = 100110001010004. Its totient is φ = 100110001010002.

The previous prime is 100110001009951. The next prime is 100110001010029. The reversal of 100110001010003 is 300010100011001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100110001010003 - 2¹² = 100110001005907 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110001010203) 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, 50055000505001 + 50055000505002.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000505002).

Almost surely, 2^{100110001010003} is an apocalyptic number.

100110001010003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001010003 is an equidigital number, since it uses as much as digits as its factorization.

100110001010003 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 100110001010003 its reverse (300010100011001), we get a palindrome (400120101021004).

The spelling of 100110001010003 in words is "one hundred trillion, one hundred ten billion, one million, ten thousand, three".