103301222112 has 72 divisors (see below), whose sum is σ = 320468573880. Its totient is φ = 31303399680.

The previous prime is 103301222111. The next prime is 103301222117. The reversal of 103301222112 is 211222103301.

103301222112 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 222 + 112 = 666.

103301222112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×103301222112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16300687 + ... + 16307022.

It is an arithmetic number, because the mean of its divisors is an integer number (4450952415).

Almost surely, 2^103301222112 is an apocalyptic number.

103301222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103301222112 is an abundant number, since it is smaller than the sum of its proper divisors (217167351768).

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

103301222112 is a wasteful number, since it uses less digits than its factorization.

103301222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32607736 (or 32607725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103301222112 its reverse (211222103301), we get a palindrome (314523325413).

The spelling of 103301222112 in words is "one hundred three billion, three hundred one million, two hundred twenty-two thousand, one hundred twelve".