112111110100220 has 144 divisors (see below), whose sum is σ = 298780264258560. Its totient is φ = 34942385116800.

The previous prime is 112111110100201. The next prime is 112111110100237. The reversal of 112111110100220 is 22001011111211.

112111110100220 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 112111110100195 and 112111110100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302851601 + ... + 303221559.

It is an arithmetic number, because the mean of its divisors is an integer number (2074862946240).

Almost surely, 2^{112111110100220} is an apocalyptic number.

112111110100220 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 112111110100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149390132129280).

112111110100220 is an abundant number, since it is smaller than the sum of its proper divisors (186669154158340).

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

112111110100220 is a wasteful number, since it uses less digits than its factorization.

112111110100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398104 (or 398095 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112111110100220 its reverse (22001011111211), we get a palindrome (134112121211431).

The spelling of 112111110100220 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, two hundred twenty".