201112221010200 has 384 divisors, whose sum is σ = 647569527897600. Its totient is φ = 51596020224000.

The previous prime is 201112221010187. The next prime is 201112221010223. The reversal of 201112221010200 is 2010122211102.

201112221010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201112221010200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201112221010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565597669 + ... + 565953131.

It is an arithmetic number, because the mean of its divisors is an integer number (1686378978900).

Almost surely, 2^{201112221010200} is an apocalyptic number.

201112221010200 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 201112221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323784763948800).

201112221010200 is an abundant number, since it is smaller than the sum of its proper divisors (446457306887400).

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

201112221010200 is a wasteful number, since it uses less digits than its factorization.

201112221010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355843 (or 355834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201112221010200 its reverse (2010122211102), we get a palindrome (203122343221302).

The spelling of 201112221010200 in words is "two hundred one trillion, one hundred twelve billion, two hundred twenty-one million, ten thousand, two hundred".