2003322100 has 72 divisors (see below), whose sum is σ = 4689809208. Its totient is φ = 738393600.

The previous prime is 2003322091. The next prime is 2003322121. The reversal of 2003322100 is 12233002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 998939236 + 1004382864 = 31606^2 + 31692^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066362 + ... + 1068238.

It is an arithmetic number, because the mean of its divisors is an integer number (65136239).

Almost surely, 2^2003322100 is an apocalyptic number.

2003322100 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 2003322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344904604).

2003322100 is an abundant number, since it is smaller than the sum of its proper divisors (2686487108).

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

2003322100 is a wasteful number, since it uses less digits than its factorization.

2003322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2003322100 is about 44758.4863461668. The cubic root of 2003322100 is about 1260.6182612896.

Adding to 2003322100 its reverse (12233002), we get a palindrome (2015555102).

The spelling of 2003322100 in words is "two billion, three million, three hundred twenty-two thousand, one hundred".