The only 3-digit number such that its factorial raised to the sum of its digits and increased by one is prime. I.e., 112!^(1+1+2)+1 is prime. [Opao]
112!*211! - 1 is prime. [Firoozbakht]
112 = 24 x 7. Note that 74 - 2 is prime. [Luhn]