112001101210100 has 72 divisors (see below), whose sum is σ = 245231838663000. Its totient is φ = 44396980346880.

The previous prime is 112001101210087. The next prime is 112001101210151. The reversal of 112001101210100 is 1012101100211.

112001101210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 62635891232656 + 49365209977444 = 7914284^2 + 7026038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71237276 + ... + 72792524.

Almost surely, 2^{112001101210100} is an apocalyptic number.

112001101210100 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 112001101210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122615919331500).

112001101210100 is an abundant number, since it is smaller than the sum of its proper divisors (133230737452900).

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

112001101210100 is a wasteful number, since it uses less digits than its factorization.

112001101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561749 (or 1561742 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112001101210100 its reverse (1012101100211), we get a palindrome (113013202310311).

The spelling of 112001101210100 in words is "one hundred twelve trillion, one billion, one hundred one million, two hundred ten thousand, one hundred".