10020120144 has 120 divisors (see below), whose sum is σ = 27910543968. Its totient is φ = 3096360960.

The previous prime is 10020120133. The next prime is 10020120151. The reversal of 10020120144 is 44102102001.

10020120144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 924034 + ... + 934814.

Almost surely, 2^10020120144 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 10020120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955271984).

10020120144 is an abundant number, since it is smaller than the sum of its proper divisors (17890423824).

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

10020120144 is a wasteful number, since it uses less digits than its factorization.

10020120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020120144 its reverse (44102102001), we get a palindrome (54122222145).

The spelling of 10020120144 in words is "ten billion, twenty million, one hundred twenty thousand, one hundred forty-four".