10142410120 has 256 divisors, whose sum is σ = 26425958400. Its totient is φ = 3481927680.

The previous prime is 10142410097. The next prime is 10142410127. The reversal of 10142410120 is 2101424101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10142410094 and 10142410103.

It is not an unprimeable number, because it can be changed into a prime (10142410127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28731864 + ... + 28732216.

It is an arithmetic number, because the mean of its divisors is an integer number (103226400).

Almost surely, 2^10142410120 is an apocalyptic number.

10142410120 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 10142410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212979200).

10142410120 is an abundant number, since it is smaller than the sum of its proper divisors (16283548280).

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

10142410120 is a wasteful number, since it uses less digits than its factorization.

10142410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10142410120 its reverse (2101424101), we get a palindrome (12243834221).

The spelling of 10142410120 in words is "ten billion, one hundred forty-two million, four hundred ten thousand, one hundred twenty".