12101
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12102
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12100
- Möbius Function
- -1
- Radical
- 12101
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1448
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=19A002496
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=25A023271
- T(2n,n-1), T given by A026681.at n=6A026683
- Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code.at n=15A030505
- Primes having only {0, 1, 2} as digits.at n=12A036953
- Numbers k such that k is a substring of its base-3 representation.at n=16A038103
- Expansion of (1-x-x^2+2*x^3) / ((1-x)*(1+x)*(1-3*x+x^2)).at n=10A038990
- Number of partitions satisfying cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5).at n=36A039837
- Primes with consecutive digits that differ exactly by 1.at n=11A048398
- Totient(n) and cototient(n) are squares.at n=38A054754
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=28A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=21A054964
- Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order.at n=28A058944
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=28A059762
- Primes whose sum of digits is 5.at n=20A062341
- Primes of form 100*k + 1.at n=35A062800
- Coefficients of irreducible polynomials over GF(3) listed in lexicographic order.at n=31A065020
- Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=7A067464
- Primes in which neighboring digits differ at most by 1.at n=46A068148
- Primes with arithmetic mean of digits = 1 (sum of digits = number of digits).at n=10A069710