112102021101120 has 896 divisors, whose sum is σ = 395659153612800. Its totient is φ = 26747498004480.

The previous prime is 112102021101061. The next prime is 112102021101121. The reversal of 112102021101120 is 21101120201211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112102021101120.

It is not an unprimeable number, because it can be changed into a prime (112102021101121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53407345831 + ... + 53407347929.

It is an arithmetic number, because the mean of its divisors is an integer number (441583876800).

Almost surely, 2^{112102021101120} is an apocalyptic number.

112102021101120 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 112102021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197829576806400).

112102021101120 is an abundant number, since it is smaller than the sum of its proper divisors (283557132511680).

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

112102021101120 is a wasteful number, since it uses less digits than its factorization.

112102021101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112102021101120 its reverse (21101120201211), we get a palindrome (133203141302331).

The spelling of 112102021101120 in words is "one hundred twelve trillion, one hundred two billion, twenty-one million, one hundred one thousand, one hundred twenty".