200210212010000 has 200 divisors, whose sum is σ = 494743488374520. Its totient is φ = 78434856448000.

The previous prime is 200210212009979. The next prime is 200210212010009. The reversal of 200210212010000 is 10212012002.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 197705196749824 + 2505015260176 = 14060768^2 + 1582724^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (200210212010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301238054 + ... + 301901946.

Almost surely, 2^{200210212010000} is an apocalyptic number.

200210212010000 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 200210212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247371744187260).

200210212010000 is an abundant number, since it is smaller than the sum of its proper divisors (294533276364520).

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

200210212010000 is an equidigital number, since it uses as much as digits as its factorization.

200210212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664543 (or 664522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200210212010000 its reverse (10212012002), we get a palindrome (200220424022002).

The spelling of 200210212010000 in words is "two hundred trillion, two hundred ten billion, two hundred twelve million, ten thousand".