2100112112 has 80 divisors (see below), whose sum is σ = 4845975552. Its totient is φ = 862721280.

The previous prime is 2100112099. The next prime is 2100112117. The reversal of 2100112112 is 2112110012.

It is a junction number, because it is equal to n+sod(n) for n = 2100112093 and 2100112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100112117) 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, 368678 + ... + 374330.

Almost surely, 2^2100112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422987776).

2100112112 is an abundant number, since it is smaller than the sum of its proper divisors (2745863440).

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

2100112112 is a wasteful number, since it uses less digits than its factorization.

2100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2100112112 is about 45826.9801754381. The cubic root of 2100112112 is about 1280.6019531996.

Adding to 2100112112 its reverse (2112110012), we get a palindrome (4212222124).

The spelling of 2100112112 in words is "two billion, one hundred million, one hundred twelve thousand, one hundred twelve".