10024104012 has 48 divisors (see below), whose sum is σ = 25615726080. Its totient is φ = 3032059968.

The previous prime is 10024104001. The next prime is 10024104109. The reversal of 10024104012 is 21040142001.

10024104012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10024104012² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024103982 and 10024104000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535348 + ... + 553755.

It is an arithmetic number, because the mean of its divisors is an integer number (533660960).

Almost surely, 2^10024104012 is an apocalyptic number.

10024104012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024104012 is an abundant number, since it is smaller than the sum of its proper divisors (15591622068).

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

10024104012 is a wasteful number, since it uses less digits than its factorization.

10024104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089182 (or 1089180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10024104012 its reverse (21040142001), we get a palindrome (31064246013).

It can be divided in two parts, 1002 and 4104012, that added together give a palindrome (4105014).

The spelling of 10024104012 in words is "ten billion, twenty-four million, one hundred four thousand, twelve".