2120225100 has 216 divisors, whose sum is σ = 7447523328. Its totient is φ = 463478400.

The previous prime is 2120225089. The next prime is 2120225137. The reversal of 2120225100 is 15220212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120225100.

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 71 ways as a sum of consecutive naturals, for example, 334965 + ... + 341235.

Almost surely, 2^2120225100 is an apocalyptic number.

2120225100 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 2120225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723761664).

2120225100 is an abundant number, since it is smaller than the sum of its proper divisors (5327298228).

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

2120225100 is a wasteful number, since it uses less digits than its factorization.

2120225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2120225100 is about 46045.9020977980. The cubic root of 2120225100 is about 1284.6771231766.

Adding to 2120225100 its reverse (15220212), we get a palindrome (2135445312).

The spelling of 2120225100 in words is "two billion, one hundred twenty million, two hundred twenty-five thousand, one hundred".