112101100233220 has 288 divisors, whose sum is σ = 302632101283680. Its totient is φ = 34625623818240.

The previous prime is 112101100233193. The next prime is 112101100233257. The reversal of 112101100233220 is 22332001101211.

It can be written as a sum of positive squares in 16 ways, for example, as 24608723075524 + 87492377157696 = 4960718^2 + 9353736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34653916 + ... + 37750444.

It is an arithmetic number, because the mean of its divisors is an integer number (1050805907235).

Almost surely, 2^{112101100233220} is an apocalyptic number.

112101100233220 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 112101100233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151316050641840).

112101100233220 is an abundant number, since it is smaller than the sum of its proper divisors (190531001050460).

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

112101100233220 is a wasteful number, since it uses less digits than its factorization.

112101100233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096663 (or 3096654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112101100233220 its reverse (22332001101211), we get a palindrome (134433101334431).

The spelling of 112101100233220 in words is "one hundred twelve trillion, one hundred one billion, one hundred million, two hundred thirty-three thousand, two hundred twenty".