112201010122112 has 128 divisors (see below), whose sum is σ = 228818006784000. Its totient is φ = 54785945675776.

The previous prime is 112201010122093. The next prime is 112201010122177. The reversal of 112201010122112 is 211221010102211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704846753 + ... + 705005919.

It is an arithmetic number, because the mean of its divisors is an integer number (1787640678000).

Almost surely, 2^{112201010122112} 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 112201010122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114409003392000).

112201010122112 is an abundant number, since it is smaller than the sum of its proper divisors (116616996661888).

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

112201010122112 is a wasteful number, since it uses less digits than its factorization.

112201010122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159856 (or 159844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112201010122112 its reverse (211221010102211), we get a palindrome (323422020224323).

The spelling of 112201010122112 in words is "one hundred twelve trillion, two hundred one billion, ten million, one hundred twenty-two thousand, one hundred twelve".