2001300100200 has 144 divisors (see below), whose sum is σ = 6802009643520. Its totient is φ = 527250107520.

The previous prime is 2001300100087. The next prime is 2001300100201. The reversal of 2001300100200 is 20010031002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2001300100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6548392 + ... + 6847191.

It is an arithmetic number, because the mean of its divisors is an integer number (47236178080).

Almost surely, 2^{2001300100200} is an apocalyptic number.

2001300100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001300100200 is an abundant number, since it is smaller than the sum of its proper divisors (4800709543320).

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

2001300100200 is a wasteful number, since it uses less digits than its factorization.

2001300100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13395688 (or 13395676 counting only the distinct ones).

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

Adding to 2001300100200 its reverse (20010031002), we get a palindrome (2021310131202).

The spelling of 2001300100200 in words is "two trillion, one billion, three hundred million, one hundred thousand, two hundred".