10820111 has 2 divisors, whose sum is σ = 10820112. Its totient is φ = 10820110.

The previous prime is 10820099. The next prime is 10820113. The reversal of 10820111 is 11102801.

10820111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (11102801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10820111 is a prime.

Together with 10820113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10820113) 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, 5410055 + 5410056.

It is an arithmetic number, because the mean of its divisors is an integer number (5410056).

Almost surely, 2^10820111 is an apocalyptic number.

10820111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10820111 is an equidigital number, since it uses as much as digits as its factorization.

10820111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 10820111 is about 3289.3937131332. The cubic root of 10820111 is about 221.1790077274.

Adding to 10820111 its reverse (11102801), we get a palindrome (21922912).

The spelling of 10820111 in words is "ten million, eight hundred twenty thousand, one hundred eleven".