2032121100 has 72 divisors (see below), whose sum is σ = 5903247168. Its totient is φ = 539720000.

The previous prime is 2032121099. The next prime is 2032121227. The reversal of 2032121100 is 11212302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61807 + ... + 88793.

It is an arithmetic number, because the mean of its divisors is an integer number (81989544).

Almost surely, 2^2032121100 is an apocalyptic number.

2032121100 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 2032121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951623584).

2032121100 is an abundant number, since it is smaller than the sum of its proper divisors (3871126068).

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

2032121100 is a wasteful number, since it uses less digits than its factorization.

2032121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27255 (or 27248 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2032121100 is about 45079.0538942423. The cubic root of 2032121100 is about 1266.6302674982.

Adding to 2032121100 its reverse (11212302), we get a palindrome (2043333402).

The spelling of 2032121100 in words is "two billion, thirty-two million, one hundred twenty-one thousand, one hundred".