10120141044 has 72 divisors (see below), whose sum is σ = 27587792232. Its totient is φ = 3109536000.

The previous prime is 10120141033. The next prime is 10120141201. The reversal of 10120141044 is 44014102101.

10120141044 is a `hidden beast` number, since 10 + 1 + 201 + 410 + 44 = 666.

10120141044 is digitally balanced in base 2, 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 4 ways, for example, as 2022300900 + 8097840144 = 44970^2 + 89988^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328294 + ... + 357794.

It is an arithmetic number, because the mean of its divisors is an integer number (383163781).

Almost surely, 2^10120141044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120141044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793896116).

10120141044 is an abundant number, since it is smaller than the sum of its proper divisors (17467651188).

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

10120141044 is a wasteful number, since it uses less digits than its factorization.

10120141044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30257 (or 30252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10120141044 its reverse (44014102101), we get a palindrome (54134243145).

The spelling of 10120141044 in words is "ten billion, one hundred twenty million, one hundred forty-one thousand, forty-four".