10024532412100 has 36 divisors (see below), whose sum is σ = 21759829938000. Its totient is φ = 4008597369760.

The previous prime is 10024532412091. The next prime is 10024532412149. The reversal of 10024532412100 is 121423542001.

It is a super-3 number, since 3×10024532412100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 14863390 + ... + 15523189.

It is an arithmetic number, because the mean of its divisors is an integer number (604439720500).

Almost surely, 2^{10024532412100} is an apocalyptic number.

10024532412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024532412100 is an abundant number, since it is smaller than the sum of its proper divisors (11735297525900).

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

10024532412100 is a wasteful number, since it uses less digits than its factorization.

10024532412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30389892 (or 30389885 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10024532412100 its reverse (121423542001), we get a palindrome (10145955954101).

The spelling of 10024532412100 in words is "ten trillion, twenty-four billion, five hundred thirty-two million, four hundred twelve thousand, one hundred".