112011020011100 has 216 divisors, whose sum is σ = 295086260301840. Its totient is φ = 36751367546880.

The previous prime is 112011020011097. The next prime is 112011020011109. The reversal of 112011020011100 is 1110020110211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011020011109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12569447 + ... + 19545153.

It is an arithmetic number, because the mean of its divisors is an integer number (1366140093990).

Almost surely, 2^{112011020011100} is an apocalyptic number.

112011020011100 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 112011020011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147543130150920).

112011020011100 is an abundant number, since it is smaller than the sum of its proper divisors (183075240290740).

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

112011020011100 is a wasteful number, since it uses less digits than its factorization.

112011020011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975877 (or 6975863 counting only the distinct ones).

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

Adding to 112011020011100 its reverse (1110020110211), we get a palindrome (113121040121311).

The spelling of 112011020011100 in words is "one hundred twelve trillion, eleven billion, twenty million, eleven thousand, one hundred".