10112120333001 has 12 divisors (see below), whose sum is σ = 14607913078980. Its totient is φ = 6740713381920.

The previous prime is 10112120332999. The next prime is 10112120333033. The reversal of 10112120333001 is 10033302121101.

10112120333001 is a `hidden beast` number, since 10 + 1 + 121 + 203 + 330 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6787332773001 + 3324787560000 = 2605251^2 + 1823400^2 .

It is not a de Polignac number, because 10112120333001 - 2¹ = 10112120332999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112120333071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58256310 + ... + 58429631.

It is an arithmetic number, because the mean of its divisors is an integer number (1217326089915).

Almost surely, 2^{10112120333001} is an apocalyptic number.

It is an amenable number.

10112120333001 is a deficient number, since it is larger than the sum of its proper divisors (4495792745979).

10112120333001 is a wasteful number, since it uses less digits than its factorization.

10112120333001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116695576 (or 116695573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112120333001 its reverse (10033302121101), we get a palindrome (20145422454102).

The spelling of 10112120333001 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, three hundred thirty-three thousand, one".