201112222111112 has 128 divisors (see below), whose sum is σ = 424334121573600. Its totient is φ = 88716321792000.

The previous prime is 201112222111067. The next prime is 201112222111147. The reversal of 201112222111112 is 211111222211102.

It is a happy number.

201112222111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1666820430916 + 199445401680196 = 1291054^2 + 14122514^2 .

It is a super-2 number, since 2×201112222111112² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1700002748 + ... + 1700121044.

Almost surely, 2^{201112222111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112222111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212167060786800).

201112222111112 is an abundant number, since it is smaller than the sum of its proper divisors (223221899462488).

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

201112222111112 is a wasteful number, since it uses less digits than its factorization.

201112222111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124027 (or 124023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 201112222111112 its reverse (211111222211102), we get a palindrome (412223444322214).

The spelling of 201112222111112 in words is "two hundred one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".