200210212000 has 96 divisors (see below), whose sum is σ = 492161080320. Its totient is φ = 80044268800.

The previous prime is 200210211983. The next prime is 200210212061. The reversal of 200210212000 is 212012002.

200210212000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8816661 + ... + 8839339.

It is an arithmetic number, because the mean of its divisors is an integer number (5126677920).

Almost surely, 2^200210212000 is an apocalyptic number.

200210212000 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 200210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246080540160).

200210212000 is an abundant number, since it is smaller than the sum of its proper divisors (291950868320).

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

200210212000 is a wasteful number, since it uses less digits than its factorization.

200210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24911 (or 24893 counting only the distinct ones).

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

Adding to 200210212000 its reverse (212012002), we get a palindrome (200422224002).

It can be divided in two parts, 2002102 and 12000, that added together give a palindrome (2014102).

The spelling of 200210212000 in words is "two hundred billion, two hundred ten million, two hundred twelve thousand".