112001021120100 has 216 divisors, whose sum is σ = 377000710285248. Its totient is φ = 25597702099200.

The previous prime is 112001021120071. The next prime is 112001021120113. The reversal of 112001021120100 is 1021120100211.

112001021120100 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150347545 + ... + 151090655.

It is an arithmetic number, because the mean of its divisors is an integer number (1745373658728).

Almost surely, 2^{112001021120100} is an apocalyptic number.

112001021120100 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 112001021120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188500355142624).

112001021120100 is an abundant number, since it is smaller than the sum of its proper divisors (264999689165148).

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

112001021120100 is a wasteful number, since it uses less digits than its factorization.

112001021120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753395 (or 753381 counting only the distinct ones).

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

Adding to 112001021120100 its reverse (1021120100211), we get a palindrome (113022141220311).

The spelling of 112001021120100 in words is "one hundred twelve trillion, one billion, twenty-one million, one hundred twenty thousand, one hundred".