10100111003 has 8 divisors (see below), whose sum is σ = 10592749728. Its totient is φ = 9611930944.

The previous prime is 10100110997. The next prime is 10100111059. The reversal of 10100111003 is 30011100101.

10100111003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100111003 - 2¹⁸ = 10099848859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100116003) 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 in 7 ways as a sum of consecutive naturals, for example, 1110026 + ... + 1119087.

It is an arithmetic number, because the mean of its divisors is an integer number (1324093716).

Almost surely, 2^10100111003 is an apocalyptic number.

10100111003 is a deficient number, since it is larger than the sum of its proper divisors (492638725).

10100111003 is a wasteful number, since it uses less digits than its factorization.

10100111003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229333.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100111003 its reverse (30011100101), we get a palindrome (40111211104).

The spelling of 10100111003 in words is "ten billion, one hundred million, one hundred eleven thousand, three".