112101101001200 has 120 divisors (see below), whose sum is σ = 271087098733392. Its totient is φ = 44546815272960.

The previous prime is 112101101001157. The next prime is 112101101001221. The reversal of 112101101001200 is 2100101101211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355101827 + ... + 355417373.

Almost surely, 2^{112101101001200} is an apocalyptic number.

112101101001200 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 112101101001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135543549366696).

112101101001200 is an abundant number, since it is smaller than the sum of its proper divisors (158985997732192).

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

112101101001200 is a wasteful number, since it uses less digits than its factorization.

112101101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321379 (or 321368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112101101001200 its reverse (2100101101211), we get a palindrome (114201202102411).

The spelling of 112101101001200 in words is "one hundred twelve trillion, one hundred one billion, one hundred one million, one thousand, two hundred".