2032200100 has 144 divisors (see below), whose sum is σ = 5419653120. Its totient is φ = 645840000.

The previous prime is 2032200091. The next prime is 2032200109. The reversal of 2032200100 is 10022302.

It is an interprime number because it is at equal distance from previous prime (2032200091) and next prime (2032200109).

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 (2032200109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623475 + ... + 626725.

It is an arithmetic number, because the mean of its divisors is an integer number (37636480).

Almost surely, 2^2032200100 is an apocalyptic number.

2032200100 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 2032200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709826560).

2032200100 is an abundant number, since it is smaller than the sum of its proper divisors (3387453020).

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

2032200100 is a wasteful number, since it uses less digits than its factorization.

2032200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2032200100 is about 45079.9301241694. The cubic root of 2032200100 is about 1266.6466809712.

Adding to 2032200100 its reverse (10022302), we get a palindrome (2042222402).

The spelling of 2032200100 in words is "two billion, thirty-two million, two hundred thousand, one hundred".