112010121101000 has 256 divisors, whose sum is σ = 287226838641600. Its totient is φ = 40695201792000.

The previous prime is 112010121100981. The next prime is 112010121101057. The reversal of 112010121101000 is 101121010211.

112010121101000 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 32 ways, for example, as 40976206402756 + 71033914698244 = 6401266^2 + 8428162^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065320432 + ... + 1065425568.

Almost surely, 2^{112010121101000} is an apocalyptic number.

112010121101000 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 112010121101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143613419320800).

112010121101000 is an abundant number, since it is smaller than the sum of its proper divisors (175216717540600).

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

112010121101000 is a wasteful number, since it uses less digits than its factorization.

112010121101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107365 (or 107351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112010121101000 its reverse (101121010211), we get a palindrome (112111242111211).

The spelling of 112010121101000 in words is "one hundred twelve trillion, ten billion, one hundred twenty-one million, one hundred one thousand".