1010110010001

1010110010001 is a binary numeral consisting of 13 digits. It can be read as a base-2 integer, and its value in decimal is 5521. The string begins and ends with the digit 1, making it odd and not divisible by 2 or 5. It contains six 1s in total, giving it a Hamming weight of 6, and its length places it in the 13-bit range (between 2^12 and 2^13).

When interpreted as a decimal number, 5521 is prime, meaning it has no divisors other than 1 and itself. Consequently, the binary number 1010110010001 is also a prime-value binary representation, in the sense that its unsigned decimal value is a prime. The binary representation is not a palindrome; reversing the digits yields 1000100110101, which is different from the original.

In a broader context, 1010110010001 serves as a representative example of a fixed-length, non-trivial binary constant. Such patterns are used in computer science for testing fixed-width data handling, bitwise operations, and encoding schemes. Its properties—13-bit length, odd parity, and a prime decimal value—are among the notable characteristics that can be examined in educational explanations of binary-to-decimal conversions and primality.