2002013100 has 54 divisors (see below), whose sum is σ = 6275201660. Its totient is φ = 533869920.

The previous prime is 2002013099. The next prime is 2002013113. The reversal of 2002013100 is 13102002.

It is a happy number.

It is a super-2 number, since 2×2002013100² = 8016112905143220000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1111330 + ... + 1113129.

Almost surely, 2^2002013100 is an apocalyptic number.

2002013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002013100 is an abundant number, since it is smaller than the sum of its proper divisors (4273188560).

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

2002013100 is a wasteful number, since it uses less digits than its factorization.

2002013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224479 (or 2224469 counting only the distinct ones).

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

The square root of 2002013100 is about 44743.8610314309. The cubic root of 2002013100 is about 1260.3436326539.

Adding to 2002013100 its reverse (13102002), we get a palindrome (2015115102).

The spelling of 2002013100 in words is "two billion, two million, thirteen thousand, one hundred".