200112100000 has 288 divisors, whose sum is σ = 531475327152. Its totient is φ = 73881600000.

The previous prime is 200112099997. The next prime is 200112100009. The reversal of 200112100000 is 1211002.

It can be written as a sum of positive squares in 24 ways, for example, as 100364774416 + 99747325584 = 316804^2 + 315828^2 .

It is not an unprimeable number, because it can be changed into a prime (200112100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90098890 + ... + 90101110.

Almost surely, 2^200112100000 is an apocalyptic number.

200112100000 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 200112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265737663576).

200112100000 is an abundant number, since it is smaller than the sum of its proper divisors (331363227152).

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

200112100000 is an equidigital number, since it uses as much as digits as its factorization.

200112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2298 counting only the distinct ones).

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

Adding to 200112100000 its reverse (1211002), we get a palindrome (200113311002).

The spelling of 200112100000 in words is "two hundred billion, one hundred twelve million, one hundred thousand".