8111 is a prime number. It is a Sophie Germain prime because 2 x 8111 = 16223 is also prime. Every digit of 8111 is a perfect cube (A061247 and A066592).
8111 is a prime that results from merging four successive digits in the decimal expansion of pi (A104824).
8111 is the concatenation of the first two digits and the last two digits of the 35th Mersenne prime (A138863).
8111 is 102010102 in base 3. It is 12112 in base 9 (A032930).