10111 has 2 divisors, whose sum is σ = 10112. Its totient is φ = 10110.

The previous prime is 10103. The next prime is 10133. The reversal of 10111 is 11101.

10111 is nontrivially palindromic in base 3.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10111 - 2^{3} = 10103 is a prime.

It is a Chen prime.

10111 is a modest number, since divided by 111 gives 10 as remainder.

10111 is a lucky number.

It is a plaindrome in base 8, base 13 and base 16.

It is a nialpdrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10141) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055 + 5056.

It is an arithmetic number, because the mean of its divisors is an integer number (5056).

2^{10111} is an apocalyptic number.

10111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111 is an equidigital number, since it uses as much as digits as its factorization.

10111 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 4.

The square root of 10111 is about 100.5534683639. The cubic root of 10111 is about 21.6237678472.

Adding to 10111 its reverse (11101), we get a palindrome (21212).

Subtracting 10111 from its reverse (11101), we obtain a triangular number (990 = T_{44}).

Multiplying 10111 by its reverse (11101), we get a palindrome (112242211).

It can be divided in two parts, 101 and 11, that multiplied together give a palindrome (1111).

The spelling of 10111 in words is "ten thousand, one hundred eleven", and thus it is an iban number.

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