2100130000 has 150 divisors (see below), whose sum is σ = 5328695834. Its totient is φ = 801504000.

The previous prime is 2100129991. The next prime is 2100130001. The reversal of 2100130000 is 310012.

It can be written as a sum of positive squares in 5 ways, for example, as 649434256 + 1450695744 = 25484^2 + 38088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100130001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5289802 + ... + 5290198.

Almost surely, 2^2100130000 is an apocalyptic number.

2100130000 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 2100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664347917).

2100130000 is an abundant number, since it is smaller than the sum of its proper divisors (3228565834).

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

2100130000 is an equidigital number, since it uses as much as digits as its factorization.

2100130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2100130000 is about 45827.1753438939. The cubic root of 2100130000 is about 1280.6055890917.

Adding to 2100130000 its reverse (310012), we get a palindrome (2100440012).

The spelling of 2100130000 in words is "two billion, one hundred million, one hundred thirty thousand".