2003201100 has 432 divisors, whose sum is σ = 7019550720. Its totient is φ = 476044800.

The previous prime is 2003201093. The next prime is 2003201119. The reversal of 2003201100 is 11023002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 28214065 + ... + 28214135.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2003201100 is an apocalyptic number.

2003201100 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 2003201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509775360).

2003201100 is an abundant number, since it is smaller than the sum of its proper divisors (5016349620).

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

2003201100 is a wasteful number, since it uses less digits than its factorization.

2003201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2003201100 is about 44757.1346267832. The cubic root of 2003201100 is about 1260.5928804683.

Adding to 2003201100 its reverse (11023002), we get a palindrome (2014224102).

The spelling of 2003201100 in words is "two billion, three million, two hundred one thousand, one hundred".