Properties of the Number -101

One Hundred One

Basics

Value: -102 → -101 → -100

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 2

Digital Root: 2

Palindrome: Yes

Factorization: 101

Divisors: 1, 101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100101

Octal: -145

Duodecimal: -85

Hexadecimal: -65

Square: 10201

Square Root: 10.04987562112089

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

Expansion of q^-1/12η(q)η(q⁶)/(η(q²)η(q³)) in powers of q. A109389

Series expansion of the Ramanujan-Goellnitz-Gordon continued fraction. A92869

a(n) = a(n-1) - 2·a(n-2) with a(0) = 2, a(1) = 1. A2249

Reversal of n in balanced ternary representation. A134028

Coefficients of the '3rd-order' mock θ function ν(q). A53254

L.g.f.: log( ∑_n>=0 x^n² ), the log of the characteristic function of the squares. A162552

Smallest term in wrecker ball sequence starting with n. A248952

Expansion of e.g.f.: exp(exp(x) - 3·x - 1). A346738

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 3. A60022

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∏_j=1..n (1-x^j) - 1). A294254