10120310144 has 96 divisors (see below), whose sum is σ = 23490571440. Its totient is φ = 4254382080.

The previous prime is 10120310143. The next prime is 10120310183. The reversal of 10120310144 is 44101302101.

It is a happy number.

10120310144 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 not an unprimeable number, because it can be changed into a prime (10120310143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2514854 + ... + 2518874.

Almost surely, 2^10120310144 is an apocalyptic number.

10120310144 is a gapful number since it is divisible by the number (14) 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 10120310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745285720).

10120310144 is an abundant number, since it is smaller than the sum of its proper divisors (13370261296).

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

10120310144 is an frugal number, since it uses more digits than its factorization.

10120310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10120310144 its reverse (44101302101), we get a palindrome (54221612245).

The spelling of 10120310144 in words is "ten billion, one hundred twenty million, three hundred ten thousand, one hundred forty-four".