2100005120 has 144 divisors (see below), whose sum is σ = 5223875328. Its totient is φ = 808304640.

The previous prime is 2100005111. The next prime is 2100005137. The reversal of 2100005120 is 215000012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030460 + ... + 4030980.

It is an arithmetic number, because the mean of its divisors is an integer number (36276912).

Almost surely, 2^2100005120 is an apocalyptic number.

2100005120 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 2100005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611937664).

2100005120 is an abundant number, since it is smaller than the sum of its proper divisors (3123870208).

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

2100005120 is an equidigital number, since it uses as much as digits as its factorization.

2100005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2100005120 is about 45825.8128133043. The cubic root of 2100005120 is about 1280.5802057113.

Adding to 2100005120 its reverse (215000012), we get a palindrome (2315005132).

The spelling of 2100005120 in words is "two billion, one hundred million, five thousand, one hundred twenty".