2211112111 has 16 divisors (see below), whose sum is σ = 2422640416. Its totient is φ = 2005710336.

The previous prime is 2211112097. The next prime is 2211112121. The reversal of 2211112111 is 1112111122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2211112111 - 2¹⁹ = 2210587823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211112091 and 2211112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264451 + ... + 272683.

It is an arithmetic number, because the mean of its divisors is an integer number (151415026).

Almost surely, 2^2211112111 is an apocalyptic number.

2211112111 is a deficient number, since it is larger than the sum of its proper divisors (211528305).

2211112111 is a wasteful number, since it uses less digits than its factorization.

2211112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602.

The product of its digits is 8, while the sum is 13.

The square root of 2211112111 is about 47022.4638975884. The cubic root of 2211112111 is about 1302.7775153188. Note that the first 3 decimals are identical.

Adding to 2211112111 its reverse (1112111122), we get a palindrome (3323223233).

The spelling of 2211112111 in words is "two billion, two hundred eleven million, one hundred twelve thousand, one hundred eleven".