2112100 has 18 divisors (see below), whose sum is σ = 4583474. Its totient is φ = 844800.

The previous prime is 2112079. The next prime is 2112107. The reversal of 2112100 is 12112.

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 1833316 = 528^2 + 1354^2 .

It is not an unprimeable number, because it can be changed into a prime (2112107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10461 + ... + 10660.

2^2112100 is an apocalyptic number.

2112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100 is an abundant number, since it is smaller than the sum of its proper divisors (2471374).

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

2112100 is a wasteful number, since it uses less digits than its factorization.

2112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21128 counting only the distinct ones).

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

The square root of 2112100 is about 1453.3065746772. The cubic root of 2112100 is about 128.3033981264.

Adding to 2112100 its reverse (12112), we get a palindrome (2124212).

It can be divided in two parts, 21 and 12100, that added together give a palindrome (12121).

The spelling of 2112100 in words is "two million, one hundred twelve thousand, one hundred".