112222103101300 has 72 divisors (see below), whose sum is σ = 244795470759000. Its totient is φ = 44654115717120.

The previous prime is 112222103101279. The next prime is 112222103101301. The reversal of 112222103101300 is 3101301222211.

112222103101300 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 46618388550756 + 65603714550544 = 6827766^2 + 8099612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222103101301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438155676 + ... + 438411724.

It is an arithmetic number, because the mean of its divisors is an integer number (3399937093875).

Almost surely, 2^{112222103101300} is an apocalyptic number.

112222103101300 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 112222103101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122397735379500).

112222103101300 is an abundant number, since it is smaller than the sum of its proper divisors (132573367657700).

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

112222103101300 is a wasteful number, since it uses less digits than its factorization.

112222103101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278965 (or 278958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112222103101300 its reverse (3101301222211), we get a palindrome (115323404323511).

The spelling of 112222103101300 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred three million, one hundred one thousand, three hundred".