10010010024 has 128 divisors (see below), whose sum is σ = 31864800000. Its totient is φ = 2852174592.

The previous prime is 10010010013. The next prime is 10010010053. The reversal of 10010010024 is 42001001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010009988 and 10010010015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555102 + ... + 572850.

It is an arithmetic number, because the mean of its divisors is an integer number (248943750).

Almost surely, 2^10010010024 is an apocalyptic number.

10010010024 is a gapful number since it is divisible by the number (14) 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 10010010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932400000).

10010010024 is an abundant number, since it is smaller than the sum of its proper divisors (21854789976).

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

10010010024 is a wasteful number, since it uses less digits than its factorization.

10010010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 18134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010010024 its reverse (42001001001), we get a palindrome (52011011025).

The spelling of 10010010024 in words is "ten billion, ten million, ten thousand, twenty-four".