100000001

100000001 is the natural number that follows 100000000 and precedes 100000002. In decimal notation it is written as 100,000,001 and can be expressed algebraically as 10^8 + 1. It is a 9-digit odd number and lies between 2^26 and 2^27, meaning it requires 27 bits to represent in binary.

The number is composite. A nontrivial factorization is 100000001 = 17 × 5,882,353. The presence of the factor 17 shows that it is not a prime number, though the cofactor 5,882,353 does not have a well-known, widely cited factorization in common references.

In mathematical contexts, 10^8 + 1 is an example of a number of the form 10^n + 1, which are studied for their divisibility properties and factorization patterns. It does not belong to the Fermat numbers (which have the form 2^(2^k) + 1) and does not display any particular named property beyond its basic arithmetic factors that are typically highlighted in elementary number theory.

If encountered in computation or problems involving modular arithmetic, 100000001 often serves as a concrete composite example. Its factorization demonstrates that even simple-looking decimal expressions of the form a^n + 1 can be composite for many values of a and n.