10024401100 has 72 divisors (see below), whose sum is σ = 24874185728. Its totient is φ = 3435048000.

The previous prime is 10024401031. The next prime is 10024401113. The reversal of 10024401100 is 110442001.

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 23 ways as a sum of consecutive naturals, for example, 1993189 + ... + 1998211.

Almost surely, 2^10024401100 is an apocalyptic number.

10024401100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024401100 is an abundant number, since it is smaller than the sum of its proper divisors (14849784628).

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

10024401100 is a wasteful number, since it uses less digits than its factorization.

10024401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10024401100 its reverse (110442001), we get a palindrome (10134843101).

The spelling of 10024401100 in words is "ten billion, twenty-four million, four hundred one thousand, one hundred".