10142112120 has 160 divisors (see below), whose sum is σ = 35496288720. Its totient is φ = 2318131200.

The previous prime is 10142112119. The next prime is 10142112137. The reversal of 10142112120 is 2121124101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10142112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270520 + ... + 305720.

Almost surely, 2^10142112120 is an apocalyptic number.

10142112120 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 10142112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748144360).

10142112120 is an abundant number, since it is smaller than the sum of its proper divisors (25354176600).

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

10142112120 is an equidigital number, since it uses as much as digits as its factorization.

10142112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35243 (or 35218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10142112120 its reverse (2121124101), we get a palindrome (12263236221).

The spelling of 10142112120 in words is "ten billion, one hundred forty-two million, one hundred twelve thousand, one hundred twenty".