10000001

10000001 (ten million one) is a natural number that falls one unit above ten million. In the decimal system it is represented simply as 10000001, while its binary representation is 10011000100101111100001 and the hexadecimal form is 9896801. The number has a prime factorization of 101 × 99001, indicating that it is composite but not highly composite.

In various technical contexts the identifier 10000001 is often used as a placeholder or a simple unique key to test database systems, file naming conventions, or programming logic. For example, some software test suites generate sequential file names where 10000001 would be the next available file after 10000000. Additionally, the number appears in educational examples that illustrate concepts such as base conversion, prime factorization, or the properties of large integers in algorithm analysis.

Historically, the sequence 1,000,000…1 appears frequently in combinatorial problems involving carrying over in arithmetic operations. In such problems the repeating pattern of zeros surrounded by ones highlights the behavior of addition in base ten, especially when examining the sum of large multiples of 10^n. Although 10000001 itself is not associated with a specific cultural or scientific phenomenon, it serves as a convenient and easily recognizable integer in mathematical demonstrations and practical applications that require a distinct, non‐trivial identifier.