101111 has 2 divisors, whose sum is σ = 101112. Its totient is φ = 101110.

The previous prime is 101107. The next prime is 101113. The reversal of 101111 is 111101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111 - 2² = 101107 is a prime.

Together with 101113, it forms a pair of twin primes.

It is a Chen prime.

101111 is a modest number, since divided by 111 gives 101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101095 and 101104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555 + 50556.

It is an arithmetic number, because the mean of its divisors is an integer number (50556).

2¹⁰¹¹¹¹ is an apocalyptic number.

101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111 is an equidigital number, since it uses as much as digits as its factorization.

101111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 101111 is about 317.9795590915. The cubic root of 101111 is about 46.5871491639.

Adding to 101111 its reverse (111101), we get a palindrome (212212).

Multiplying 101111 by its reverse (111101), we get a palindrome (11233533211).

It can be divided in two parts, 101 and 111, that multiplied together give a palindrome (11211).

The spelling of 101111 in words is "one hundred one thousand, one hundred eleven", and thus it is an iban number.