10142104112244 has 144 divisors (see below), whose sum is σ = 29610513878400. Its totient is φ = 2900621498112.

The previous prime is 10142104112219. The next prime is 10142104112251. The reversal of 10142104112244 is 44221140124101.

10142104112244 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 1 + 0 + 411 + 2 + 244 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10288984 + ... + 11231535.

It is an arithmetic number, because the mean of its divisors is an integer number (205628568600).

Almost surely, 2^{10142104112244} is an apocalyptic number.

It is an amenable number.

10142104112244 is an abundant number, since it is smaller than the sum of its proper divisors (19468409766156).

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

10142104112244 is a wasteful number, since it uses less digits than its factorization.

10142104112244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21520614 (or 21520609 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10142104112244 its reverse (44221140124101), we get a palindrome (54363244236345).

The spelling of 10142104112244 in words is "ten trillion, one hundred forty-two billion, one hundred four million, one hundred twelve thousand, two hundred forty-four".