201100112220200 has 96 divisors (see below), whose sum is σ = 482781981404160. Its totient is φ = 77822347948800.

The previous prime is 201100112220197. The next prime is 201100112220221. The reversal of 201100112220200 is 2022211001102.

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 23 ways as a sum of consecutive naturals, for example, 16363274 + ... + 25883526.

It is an arithmetic number, because the mean of its divisors is an integer number (5028978972960).

Almost surely, 2^{201100112220200} is an apocalyptic number.

201100112220200 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 201100112220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241390990702080).

201100112220200 is an abundant number, since it is smaller than the sum of its proper divisors (281681869183960).

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

201100112220200 is a wasteful number, since it uses less digits than its factorization.

201100112220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523707 (or 9523698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201100112220200 its reverse (2022211001102), we get a palindrome (203122323221302).

The spelling of 201100112220200 in words is "two hundred one trillion, one hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred".