2102112 has 60 divisors (see below), whose sum is σ = 6189876. Its totient is φ = 699840.

The previous prime is 2102099. The next prime is 2102117. The reversal of 2102112 is 2112012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2102094 and 2102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102117) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2187 + ... + 2997.

2^2102112 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 2102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094938).

2102112 is an abundant number, since it is smaller than the sum of its proper divisors (4087764).

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

2102112 is an equidigital number, since it uses as much as digits as its factorization.

2102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102112 is about 1449.8662007234. The cubic root of 2102112 is about 128.1008320071.

Adding to 2102112 its reverse (2112012), we get a palindrome (4214124).

It can be divided in two parts, 21021 and 12, that multiplied together give a palindrome (252252).

The spelling of 2102112 in words is "two million, one hundred two thousand, one hundred twelve".