2100112 has 40 divisors (see below), whose sum is σ = 4928256. Its totient is φ = 846336.

The previous prime is 2100097. The next prime is 2100113. The reversal of 2100112 is 2110012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2100095 and 2100104.

It is not an unprimeable number, because it can be changed into a prime (2100113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353 + ... + 2455.

2^2100112 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 2100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464128).

2100112 is an abundant number, since it is smaller than the sum of its proper divisors (2828144).

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

2100112 is a wasteful number, since it uses less digits than its factorization.

2100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100112 is about 1449.1763177750. The cubic root of 2100112 is about 128.0601930435.

Adding to 2100112 its reverse (2110012), we get a palindrome (4210124).

The spelling of 2100112 in words is "two million, one hundred thousand, one hundred twelve".