2002003100 has 72 divisors (see below), whose sum is σ = 4437788880. Its totient is φ = 783751680.

The previous prime is 2002003097. The next prime is 2002003121. The reversal of 2002003100 is 13002002.

It is a super-2 number, since 2×2002003100² = 8016032824819220000, which contains 22 as substring.

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, 1013714 + ... + 1015686.

Almost surely, 2^2002003100 is an apocalyptic number.

2002003100 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 2002003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218894440).

2002003100 is an abundant number, since it is smaller than the sum of its proper divisors (2435785780).

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

2002003100 is a wasteful number, since it uses less digits than its factorization.

2002003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2002003100 is about 44743.7492841179. The cubic root of 2002003100 is about 1260.3415341899.

Adding to 2002003100 its reverse (13002002), we get a palindrome (2015005102).

The spelling of 2002003100 in words is "two billion, two million, three thousand, one hundred".