112102111121220 has 432 divisors, whose sum is σ = 403679691612288. Its totient is φ = 24886366801920.

The previous prime is 112102111121219. The next prime is 112102111121261. The reversal of 112102111121220 is 22121111201211.

It is a happy number.

112102111121220 is a `hidden beast` number, since 1 + 1 + 210 + 2 + 111 + 121 + 220 = 666.

112102111121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112102111121193 and 112102111121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44864169 + ... + 47296911.

It is an arithmetic number, because the mean of its divisors is an integer number (934443730584).

Almost surely, 2^{112102111121220} is an apocalyptic number.

112102111121220 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 112102111121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201839845806144).

112102111121220 is an abundant number, since it is smaller than the sum of its proper divisors (291577580491068).

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

112102111121220 is a wasteful number, since it uses less digits than its factorization.

112102111121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432860 (or 2432818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112102111121220 its reverse (22121111201211), we get a palindrome (134223222322431).

The spelling of 112102111121220 in words is "one hundred twelve trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty".