201110112212200 has 192 divisors, whose sum is σ = 471858017904000. Its totient is φ = 79711395287040.

The previous prime is 201110112212131. The next prime is 201110112212221. The reversal of 201110112212200 is 2212211011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36386845837 + ... + 36386851363.

It is an arithmetic number, because the mean of its divisors is an integer number (2457593843250).

Almost surely, 2^{201110112212200} is an apocalyptic number.

201110112212200 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 201110112212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235929008952000).

201110112212200 is an abundant number, since it is smaller than the sum of its proper divisors (270747905691800).

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

201110112212200 is a wasteful number, since it uses less digits than its factorization.

201110112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201110112212200 its reverse (2212211011102), we get a palindrome (203322323223302).

The spelling of 201110112212200 in words is "two hundred one trillion, one hundred ten billion, one hundred twelve million, two hundred twelve thousand, two hundred".