200200201210000 has 100 divisors (see below), whose sum is σ = 489503766125484. Its totient is φ = 79287208000000.

The previous prime is 200200201209947. The next prime is 200200201210007. The reversal of 200200201210000 is 12102002002.

It can be written as a sum of positive squares in 10 ways, for example, as 66013740013456 + 134186461196544 = 8124884^2 + 11583888^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×200200201210000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200200201210007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98099011 + ... + 100119010.

Almost surely, 2^{200200201210000} is an apocalyptic number.

200200201210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200201210000 is an abundant number, since it is smaller than the sum of its proper divisors (289303564915484).

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

200200201210000 is a wasteful number, since it uses less digits than its factorization.

200200201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198218150 (or 198218129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200200201210000 its reverse (12102002002), we get a palindrome (200212303212002).

The spelling of 200200201210000 in words is "two hundred trillion, two hundred billion, two hundred one million, two hundred ten thousand".