112122222101000 has 128 divisors (see below), whose sum is σ = 262858718959200. Its totient is φ = 44764699852800.

The previous prime is 112122222100957. The next prime is 112122222101011. The reversal of 112122222101000 is 101222221211.

It can be written as a sum of positive squares in 16 ways, for example, as 44435369352196 + 67686852748804 = 6665986^2 + 8227202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112122222101000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766448736 + ... + 2766489264.

Almost surely, 2^{112122222101000} is an apocalyptic number.

112122222101000 is a gapful number since it is divisible by the number (10) 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 112122222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131429359479600).

112122222101000 is an abundant number, since it is smaller than the sum of its proper divisors (150736496858200).

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

112122222101000 is a wasteful number, since it uses less digits than its factorization.

112122222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45676 (or 45662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112122222101000 its reverse (101222221211), we get a palindrome (112223444322211).

The spelling of 112122222101000 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand".