200211000210000 has 800 divisors, whose sum is σ = 781333874625920. Its totient is φ = 48774555648000.

The previous prime is 200211000209959. The next prime is 200211000210031. The reversal of 200211000210000 is 12000112002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 340175979 + ... + 340764021.

Almost surely, 2^{200211000210000} is an apocalyptic number.

200211000210000 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 200211000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390666937312960).

200211000210000 is an abundant number, since it is smaller than the sum of its proper divisors (581122874415920).

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

200211000210000 is a wasteful number, since it uses less digits than its factorization.

200211000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588190 (or 588163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200211000210000 its reverse (12000112002), we get a palindrome (200223000322002).

The spelling of 200211000210000 in words is "two hundred trillion, two hundred eleven billion, two hundred ten thousand".