2127100 has 36 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 837760.

The previous prime is 2127077. The next prime is 2127133. The reversal of 2127100 is 17212.

2127100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8781 + ... + 9019.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2^2127100 is an apocalyptic number.

2127100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2127100 is an abundant number, since it is smaller than the sum of its proper divisors (2560100).

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

2127100 is a wasteful number, since it uses less digits than its factorization.

2127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 2127100 is about 1458.4580899018. The cubic root of 2127100 is about 128.6064161101.

The spelling of 2127100 in words is "two million, one hundred twenty-seven thousand, one hundred".