112201112221000 has 512 divisors, whose sum is σ = 301667666826240. Its totient is φ = 38663116800000.

The previous prime is 112201112220997. The next prime is 112201112221001. The reversal of 112201112221000 is 122211102211.

It is not an unprimeable number, because it can be changed into a prime (112201112221001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011676330 + ... + 12011685670.

It is an arithmetic number, because the mean of its divisors is an integer number (589194661770).

Almost surely, 2^{112201112221000} is an apocalyptic number.

112201112221000 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 112201112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150833833413120).

112201112221000 is an abundant number, since it is smaller than the sum of its proper divisors (189466554605240).

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

112201112221000 is a wasteful number, since it uses less digits than its factorization.

112201112221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834 (or 9820 counting only the distinct ones).

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

Adding to 112201112221000 its reverse (122211102211), we get a palindrome (112323323323211).

The spelling of 112201112221000 in words is "one hundred twelve trillion, two hundred one billion, one hundred twelve million, two hundred twenty-one thousand".