10024014010120 has 64 divisors (see below), whose sum is σ = 24604790428800. Its totient is φ = 3645037870080.

The previous prime is 10024014010111. The next prime is 10024014010177. The reversal of 10024014010120 is 2101041042001.

It is a happy number.

10024014010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10024014010094 and 10024014010103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35308096 + ... + 35590864.

It is an arithmetic number, because the mean of its divisors is an integer number (384449850450).

Almost surely, 2^{10024014010120} is an apocalyptic number.

10024014010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024014010120 is an abundant number, since it is smaller than the sum of its proper divisors (14580776418680).

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

10024014010120 is a wasteful number, since it uses less digits than its factorization.

10024014010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363358 (or 363354 counting only the distinct ones).

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

Adding to 10024014010120 its reverse (2101041042001), we get a palindrome (12125055052121).

The spelling of 10024014010120 in words is "ten trillion, twenty-four billion, fourteen million, ten thousand, one hundred twenty".