200210210210010 has 1024 divisors, whose sum is σ = 668514698772480. Its totient is φ = 37042790400000.

The previous prime is 200210210209993. The next prime is 200210210210011. The reversal of 200210210210010 is 10012012012002.

It is not an unprimeable number, because it can be changed into a prime (200210210210011) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 20221206060 + ... + 20221215960.

It is an arithmetic number, because the mean of its divisors is an integer number (652846385520).

Almost surely, 2^{200210210210010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210210210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334257349386240).

200210210210010 is an abundant number, since it is smaller than the sum of its proper divisors (468304488562470).

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

200210210210010 is a wasteful number, since it uses less digits than its factorization.

200210210210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200210210210010 its reverse (10012012012002), we get a palindrome (210222222222012).

The spelling of 200210210210010 in words is "two hundred trillion, two hundred ten billion, two hundred ten million, two hundred ten thousand, ten".