10002111 has 16 divisors (see below), whose sum is σ = 15436800. Its totient is φ = 5642208.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002111 is 11120001.

10002111 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002111 - 2¹⁷ = 9871039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (964800).

Almost surely, 2^10002111 is an apocalyptic number.

10002111 is a deficient number, since it is larger than the sum of its proper divisors (5434689).

10002111 is an equidigital number, since it uses as much as digits as its factorization.

10002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10002111 is about 3162.6114209621. The cubic root of 10002111 is about 215.4586279753.

Adding to 10002111 its reverse (11120001), we get a palindrome (21122112).

Multiplying 10002111 by its reverse (11120001), we get a palindrome (111223484322111).

The spelling of 10002111 in words is "ten million, two thousand, one hundred eleven".