112110101200020 has 576 divisors, whose sum is σ = 418174806712320. Its totient is φ = 22162018636800.

The previous prime is 112110101199991. The next prime is 112110101200037. The reversal of 112110101200020 is 20002101011211.

It is a super-3 number, since 3×112110101200020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112110101199969 and 112110101200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58202182 + ... + 60097538.

It is an arithmetic number, because the mean of its divisors is an integer number (725997928320).

Almost surely, 2^{112110101200020} is an apocalyptic number.

112110101200020 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 112110101200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209087403356160).

112110101200020 is an abundant number, since it is smaller than the sum of its proper divisors (306064705512300).

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

112110101200020 is a wasteful number, since it uses less digits than its factorization.

112110101200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895484 (or 1895475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112110101200020 its reverse (20002101011211), we get a palindrome (132112202211231).

The spelling of 112110101200020 in words is "one hundred twelve trillion, one hundred ten billion, one hundred one million, two hundred thousand, twenty".