10127013120 has 576 divisors, whose sum is σ = 42113594880. Its totient is φ = 2256076800.

The previous prime is 10127013097. The next prime is 10127013131. The reversal of 10127013120 is 2131072101.

It is a happy number.

10127013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 10127013093 and 10127013102.

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 63 ways as a sum of consecutive naturals, for example, 9918210 + ... + 9919230.

It is an arithmetic number, because the mean of its divisors is an integer number (73113880).

Almost surely, 2^10127013120 is an apocalyptic number.

10127013120 is a gapful number since it is divisible by the number (10) 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 10127013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056797440).

10127013120 is an abundant number, since it is smaller than the sum of its proper divisors (31986581760).

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

10127013120 is a wasteful number, since it uses less digits than its factorization.

10127013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10127013120 its reverse (2131072101), we get a palindrome (12258085221).

The spelling of 10127013120 in words is "ten billion, one hundred twenty-seven million, thirteen thousand, one hundred twenty".