112120013210100 has 432 divisors, whose sum is σ = 387884745537408. Its totient is φ = 24914095395840.

The previous prime is 112120013210077. The next prime is 112120013210203. The reversal of 112120013210100 is 1012310021211.

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 112120013210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 659665729 + ... + 659835671.

Almost surely, 2^{112120013210100} is an apocalyptic number.

112120013210100 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 112120013210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193942372768704).

112120013210100 is an abundant number, since it is smaller than the sum of its proper divisors (275764732327308).

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

112120013210100 is a wasteful number, since it uses less digits than its factorization.

112120013210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171224 (or 171210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112120013210100 its reverse (1012310021211), we get a palindrome (113132323231311).

The spelling of 112120013210100 in words is "one hundred twelve trillion, one hundred twenty billion, thirteen million, two hundred ten thousand, one hundred".