200112001000 has 64 divisors (see below), whose sum is σ = 469053121680. Its totient is φ = 79909580800.

The previous prime is 200112000931. The next prime is 200112001007. The reversal of 200112001000 is 100211002.

200112001000 is digitally balanced in base 3, 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 8 ways, for example, as 18416118436 + 181695882564 = 135706^2 + 426258^2 .

It is not an unprimeable number, because it can be changed into a prime (200112001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424272 + ... + 761728.

Almost surely, 2^200112001000 is an apocalyptic number.

200112001000 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 200112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234526560840).

200112001000 is an abundant number, since it is smaller than the sum of its proper divisors (268941120680).

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

200112001000 is a wasteful number, since it uses less digits than its factorization.

200112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338071 (or 338057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200112001000 its reverse (100211002), we get a palindrome (200212212002).

The spelling of 200112001000 in words is "two hundred billion, one hundred twelve million, one thousand".