2130221120 has 56 divisors (see below), whose sum is σ = 5080598424. Its totient is φ = 850743296.

The previous prime is 2130221099. The next prime is 2130221123. The reversal of 2130221120 is 211220312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 855445504 + 1274775616 = 29248^2 + 35704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2130221095 and 2130221104.

It is not an unprimeable number, because it can be changed into a prime (2130221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211724 + ... + 221556.

Almost surely, 2^2130221120 is an apocalyptic number.

2130221120 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 2130221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540299212).

2130221120 is an abundant number, since it is smaller than the sum of its proper divisors (2950377304).

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

2130221120 is an equidigital number, since it uses as much as digits as its factorization.

2130221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2130221120 is about 46154.3185411723. The cubic root of 2130221120 is about 1286.6928729513.

Adding to 2130221120 its reverse (211220312), we get a palindrome (2341441432).

The spelling of 2130221120 in words is "two billion, one hundred thirty million, two hundred twenty-one thousand, one hundred twenty".