200210011000000 has 784 divisors, whose sum is σ = 539235494572320. Its totient is φ = 73502208000000.

The previous prime is 200210010999931. The next prime is 200210011000031. The reversal of 200210011000000 is 110012002.

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 111 ways as a sum of consecutive naturals, for example, 122302999182 + ... + 122303000818.

It is an arithmetic number, because the mean of its divisors is an integer number (687800375730).

Almost surely, 2^{200210011000000} is an apocalyptic number.

200210011000000 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 200210011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269617747286160).

200210011000000 is an abundant number, since it is smaller than the sum of its proper divisors (339025483572320).

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

200210011000000 is an equidigital number, since it uses as much as digits as its factorization.

200210011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200210011000000 its reverse (110012002), we get a palindrome (200210121012002).

The spelling of 200210011000000 in words is "two hundred trillion, two hundred ten billion, eleven million", and thus it is an aban number.