200210201111200 has 288 divisors, whose sum is σ = 595073028138624. Its totient is φ = 64209286103040.

The previous prime is 200210201111191. The next prime is 200210201111227. The reversal of 200210201111200 is 2111102012002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9066532 + ... + 21968668.

It is an arithmetic number, because the mean of its divisors is an integer number (2066225792148).

Almost surely, 2^{200210201111200} is an apocalyptic number.

200210201111200 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 200210201111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297536514069312).

200210201111200 is an abundant number, since it is smaller than the sum of its proper divisors (394862827027424).

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

200210201111200 is a wasteful number, since it uses less digits than its factorization.

200210201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902344 (or 12902331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200210201111200 its reverse (2111102012002), we get a palindrome (202321303123202).

The spelling of 200210201111200 in words is "two hundred trillion, two hundred ten billion, two hundred one million, one hundred eleven thousand, two hundred".