200211012201000 has 256 divisors, whose sum is σ = 639897935339520. Its totient is φ = 52100858880000.

The previous prime is 200211012200923. The next prime is 200211012201007. The reversal of 200211012201000 is 102210112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200211012201007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18933720 + ... + 27548280.

It is an arithmetic number, because the mean of its divisors is an integer number (2499601309920).

Almost surely, 2^{200211012201000} is an apocalyptic number.

200211012201000 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 200211012201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319948967669760).

200211012201000 is an abundant number, since it is smaller than the sum of its proper divisors (439686923138520).

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

200211012201000 is a wasteful number, since it uses less digits than its factorization.

200211012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614773 (or 8614759 counting only the distinct ones).

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

Adding to 200211012201000 its reverse (102210112002), we get a palindrome (200313222313002).

The spelling of 200211012201000 in words is "two hundred trillion, two hundred eleven billion, twelve million, two hundred one thousand".