10024153040100 has 144 divisors (see below), whose sum is σ = 29293015752000. Its totient is φ = 2646514782720.

The previous prime is 10024153040089. The next prime is 10024153040119. The reversal of 10024153040100 is 104035142001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13357666 + ... + 14088134.

It is an arithmetic number, because the mean of its divisors is an integer number (203423720500).

Almost surely, 2^{10024153040100} is an apocalyptic number.

10024153040100 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 10024153040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646507876000).

10024153040100 is an abundant number, since it is smaller than the sum of its proper divisors (19268862711900).

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

10024153040100 is a wasteful number, since it uses less digits than its factorization.

10024153040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730942 (or 730935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10024153040100 its reverse (104035142001), we get a palindrome (10128188182101).

The spelling of 10024153040100 in words is "ten trillion, twenty-four billion, one hundred fifty-three million, forty thousand, one hundred".