2000312100 has 216 divisors, whose sum is σ = 6483335040. Its totient is φ = 515520000.

The previous prime is 2000312087. The next prime is 2000312117. The reversal of 2000312100 is 12130002.

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 71 ways as a sum of consecutive naturals, for example, 5571721 + ... + 5572079.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^2000312100 is an apocalyptic number.

2000312100 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 2000312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

2000312100 is an abundant number, since it is smaller than the sum of its proper divisors (4483022940).

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

2000312100 is a wasteful number, since it uses less digits than its factorization.

2000312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

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

The square root of 2000312100 is about 44724.8487979557. The cubic root of 2000312100 is about 1259.9865833794.

Adding to 2000312100 its reverse (12130002), we get a palindrome (2012442102).

The spelling of 2000312100 in words is "two billion, three hundred twelve thousand, one hundred".