10042531010120 has 128 divisors (see below), whose sum is σ = 26206754515200. Its totient is φ = 3392348467200.

The previous prime is 10042531010117. The next prime is 10042531010191. The reversal of 10042531010120 is 2101013524001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10042531010092 and 10042531010101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6285455 + ... + 7719585.

It is an arithmetic number, because the mean of its divisors is an integer number (204740269650).

Almost surely, 2^{10042531010120} is an apocalyptic number.

10042531010120 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 10042531010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103377257600).

10042531010120 is an abundant number, since it is smaller than the sum of its proper divisors (16164223505080).

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

10042531010120 is a wasteful number, since it uses less digits than its factorization.

10042531010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434519 (or 1434515 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10042531010120 its reverse (2101013524001), we get a palindrome (12143544534121).

The spelling of 10042531010120 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, one hundred twenty".