2121130000 has 150 divisors (see below), whose sum is σ = 5647990502. Its totient is φ = 770880000.

The previous prime is 2121129953. The next prime is 2121130009. The reversal of 2121130000 is 311212.

It can be written as a sum of positive squares in 5 ways, for example, as 1472103424 + 649026576 = 38368^2 + 25476^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2121130009) 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, 1209124 + ... + 1210876.

Almost surely, 2^2121130000 is an apocalyptic number.

2121130000 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 2121130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823995251).

2121130000 is an abundant number, since it is smaller than the sum of its proper divisors (3526860502).

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

2121130000 is a wasteful number, since it uses less digits than its factorization.

2121130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2121130000 is about 46055.7271140083. The cubic root of 2121130000 is about 1284.8598614756.

Adding to 2121130000 its reverse (311212), we get a palindrome (2121441212).

The spelling of 2121130000 in words is "two billion, one hundred twenty-one million, one hundred thirty thousand".