201112102221100 has 144 divisors (see below), whose sum is σ = 501844602264768. Its totient is φ = 68526327029760.

The previous prime is 201112102221089. The next prime is 201112102221271. The reversal of 201112102221100 is 1122201211102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299144532 + ... + 299816068.

It is an arithmetic number, because the mean of its divisors is an integer number (3485031960172).

Almost surely, 2^{201112102221100} is an apocalyptic number.

201112102221100 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 201112102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250922301132384).

201112102221100 is an abundant number, since it is smaller than the sum of its proper divisors (300732500043668).

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

201112102221100 is a wasteful number, since it uses less digits than its factorization.

201112102221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674204 (or 674197 counting only the distinct ones).

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

Adding to 201112102221100 its reverse (1122201211102), we get a palindrome (202234303432202).

The spelling of 201112102221100 in words is "two hundred one trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, one hundred".