Properties of the Number 10101

Ten Thousand One Hundred One

Basics

Value: 10100 → 10101 → 10102

Parity: odd

Prime: No

Previous Prime: 10099

Next Prime: 10103

Digit Sum: 3

Digital Root: 3

Palindrome: Yes

Factorization: 3 × 7 × 13 × 37

Divisors: 1, 3, 7, 13, 21, 37, 39, 91, 111, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101110101

Octal: 23565

Duodecimal: 5A19

Hexadecimal: 2775

Square: 102030201

Square Root: 100.50373127401788

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2. A7088

Representation of n in base of Fibonacci numbers (the Zeckendorf representation of n). Also, binary words starting with 1 not containing 11, with the word 0 added. A14417

Numbers whose square is a palindrome. A2778

Expansion of 1/((1-x)*(1-100·x)). A94028

a(n) is the negabinary expansion of n, that is, the expansion of n in base -2. A39724

Dual Zeckendorf representation of n or the maximal (binary) Fibonacci representation. Also list of binary vectors not containing 00. A104326

Least positive multiple of n that when written in base 10 uses only 0's and 1's. A4290

Numbers whose sum of digits is 3. A52217

Binary vectors not containing three consecutive 1's; or, representation of n in the tribonacci base. A278038

Palindromes only using 0 and 1 (i.e., base-2 palindromes). A57148