112001012310 has 128 divisors (see below), whose sum is σ = 295862284800. Its totient is φ = 26909982720.

The previous prime is 112001012281. The next prime is 112001012327. The reversal of 112001012310 is 13210100211.

112001012310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112001012310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17151126 + ... + 17157654.

It is an arithmetic number, because the mean of its divisors is an integer number (2311424100).

Almost surely, 2^112001012310 is an apocalyptic number.

112001012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001012310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147931142400).

112001012310 is an abundant number, since it is smaller than the sum of its proper divisors (183861272490).

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

112001012310 is a wasteful number, since it uses less digits than its factorization.

112001012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112001012310 its reverse (13210100211), we get a palindrome (125211112521).

The spelling of 112001012310 in words is "one hundred twelve billion, one million, twelve thousand, three hundred ten".