200200101010000 has 800 divisors, whose sum is σ = 632018943198720. Its totient is φ = 59598249984000.

The previous prime is 200200101009989. The next prime is 200200101010031. The reversal of 200200101010000 is 10101002002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40949087556 + ... + 40949092444.

Almost surely, 2^{200200101010000} is an apocalyptic number.

200200101010000 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 200200101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316009471599360).

200200101010000 is an abundant number, since it is smaller than the sum of its proper divisors (431818842188720).

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

200200101010000 is a wasteful number, since it uses less digits than its factorization.

200200101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7580 counting only the distinct ones).

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

Adding to 200200101010000 its reverse (10101002002), we get a palindrome (200210202012002).

The spelling of 200200101010000 in words is "two hundred trillion, two hundred billion, one hundred one million, ten thousand".