210200210012000 has 768 divisors, whose sum is σ = 622121919793920. Its totient is φ = 68954554368000.

The previous prime is 210200210011963. The next prime is 210200210012003. The reversal of 210200210012000 is 210012002012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210200210012003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4719653732 + ... + 4719698268.

It is an arithmetic number, because the mean of its divisors is an integer number (810054583065).

Almost surely, 2^{210200210012000} is an apocalyptic number.

210200210012000 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 210200210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311060959896960).

210200210012000 is an abundant number, since it is smaller than the sum of its proper divisors (411921709781920).

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

210200210012000 is a wasteful number, since it uses less digits than its factorization.

210200210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44892 (or 44874 counting only the distinct ones).

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

Adding to 210200210012000 its reverse (210012002012), we get a palindrome (210410222014012).

The spelling of 210200210012000 in words is "two hundred ten trillion, two hundred billion, two hundred ten million, twelve thousand".