200100132000 has 720 divisors, whose sum is σ = 780542570808. Its totient is φ = 50197708800.

The previous prime is 200100131989. The next prime is 200100132073. The reversal of 200100132000 is 231001002.

It is a happy number.

200100132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8119451664 + 191980680336 = 90108^2 + 438156^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93634932 + ... + 93637068.

Almost surely, 2^200100132000 is an apocalyptic number.

200100132000 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 200100132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390271285404).

200100132000 is an abundant number, since it is smaller than the sum of its proper divisors (580442438808).

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

200100132000 is a wasteful number, since it uses less digits than its factorization.

200100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2164 counting only the distinct ones).

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

Adding to 200100132000 its reverse (231001002), we get a palindrome (200331133002).

The spelling of 200100132000 in words is "two hundred billion, one hundred million, one hundred thirty-two thousand".