112102401300 has 288 divisors, whose sum is σ = 350527564800. Its totient is φ = 27557591040.

The previous prime is 112102401293. The next prime is 112102401361. The reversal of 112102401300 is 3104201211.

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 112102401300.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 114040609 + ... + 114041591.

It is an arithmetic number, because the mean of its divisors is an integer number (1217109600).

Almost surely, 2^112102401300 is an apocalyptic number.

112102401300 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 112102401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175263782400).

112102401300 is an abundant number, since it is smaller than the sum of its proper divisors (238425163500).

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

112102401300 is a wasteful number, since it uses less digits than its factorization.

112102401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112102401300 its reverse (3104201211), we get a palindrome (115206602511).

The spelling of 112102401300 in words is "one hundred twelve billion, one hundred two million, four hundred one thousand, three hundred".