112002302031100 has 288 divisors, whose sum is σ = 283537747422720. Its totient is φ = 38057603189760.

The previous prime is 112002302030981. The next prime is 112002302031101. The reversal of 112002302031100 is 1130203200211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002302031101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245161087 + ... + 245617513.

It is an arithmetic number, because the mean of its divisors is an integer number (984506067440).

Almost surely, 2^{112002302031100} is an apocalyptic number.

112002302031100 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 112002302031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141768873711360).

112002302031100 is an abundant number, since it is smaller than the sum of its proper divisors (171535445391620).

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

112002302031100 is a wasteful number, since it uses less digits than its factorization.

112002302031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456789 (or 456782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112002302031100 its reverse (1130203200211), we get a palindrome (113132505231311).

The spelling of 112002302031100 in words is "one hundred twelve trillion, two billion, three hundred two million, thirty-one thousand, one hundred".