200211002100000 has 288 divisors, whose sum is σ = 729889239098880. Its totient is φ = 53389599840000.

The previous prime is 200211002099897. The next prime is 200211002100007. The reversal of 200211002100000 is 1200112002.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (200211002100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34376112 + ... + 39776111.

It is an arithmetic number, because the mean of its divisors is an integer number (2534337635760).

Almost surely, 2^{200211002100000} is an apocalyptic number.

200211002100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211002100000 is an abundant number, since it is smaller than the sum of its proper divisors (529678236998880).

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

200211002100000 is an frugal number, since it uses more digits than its factorization.

200211002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74152267 (or 74152233 counting only the distinct ones).

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

Adding to 200211002100000 its reverse (1200112002), we get a palindrome (200212202212002).

The spelling of 200211002100000 in words is "two hundred trillion, two hundred eleven billion, two million, one hundred thousand".