10142241023120 has 40 divisors (see below), whose sum is σ = 23627590612416. Its totient is φ = 4048830992768.

The previous prime is 10142241023113. The next prime is 10142241023137. The reversal of 10142241023120 is 2132014224101.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125981642 + ... + 126062121.

Almost surely, 2^{10142241023120} is an apocalyptic number.

10142241023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142241023120 is an abundant number, since it is smaller than the sum of its proper divisors (13485349589296).

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

10142241023120 is a wasteful number, since it uses less digits than its factorization.

10142241023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252044279 (or 252044273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10142241023120 its reverse (2132014224101), we get a palindrome (12274255247221).

The spelling of 10142241023120 in words is "ten trillion, one hundred forty-two billion, two hundred forty-one million, twenty-three thousand, one hundred twenty".