200200010010000 has 1200 divisors, whose sum is σ = 883218251539008. Its totient is φ = 38399961600000.

The previous prime is 200200010009999. The next prime is 200200010010001. The reversal of 200200010010000 is 10010002002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200200010009999) and next prime (200200010010001).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200200010010001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 209733810 + ... + 210686190.

Almost surely, 2^{200200010010000} is an apocalyptic number.

200200010010000 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 200200010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441609125769504).

200200010010000 is an abundant number, since it is smaller than the sum of its proper divisors (683018241529008).

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

200200010010000 is a wasteful number, since it uses less digits than its factorization.

200200010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952450 (or 952422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200200010010000 its reverse (10010002002), we get a palindrome (200210020012002).

The spelling of 200200010010000 in words is "two hundred trillion, two hundred billion, ten million, ten thousand".