2102111112 has 64 divisors (see below), whose sum is σ = 5312102400. Its totient is φ = 693161280.

The previous prime is 2102111111. The next prime is 2102111161. The reversal of 2102111112 is 2111112012.

It is a super-2 number, since 2×2102111112² = 8837742254387753088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102111111) 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, 1337287 + ... + 1338857.

It is an arithmetic number, because the mean of its divisors is an integer number (83001600).

Almost surely, 2^2102111112 is an apocalyptic number.

It is an amenable number.

2102111112 is an abundant number, since it is smaller than the sum of its proper divisors (3209991288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102111112 is a wasteful number, since it uses less digits than its factorization.

2102111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2102111112 is about 45848.7852838000. The cubic root of 2102111112 is about 1281.0081396908.

Adding to 2102111112 its reverse (2111112012), we get a palindrome (4213223124).

The spelling of 2102111112 in words is "two billion, one hundred two million, one hundred eleven thousand, one hundred twelve".