10001218500 has 576 divisors, whose sum is σ = 40573128960. Its totient is φ = 2108332800.

The previous prime is 10001218453. The next prime is 10001218523. The reversal of 10001218500 is 581210001.

10001218500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 8598919 + ... + 8600081.

It is an arithmetic number, because the mean of its divisors is an integer number (70439460).

Almost surely, 2^10001218500 is an apocalyptic number.

10001218500 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 10001218500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286564480).

10001218500 is an abundant number, since it is smaller than the sum of its proper divisors (30571910460).

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

10001218500 is a wasteful number, since it uses less digits than its factorization.

10001218500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10001218500 its reverse (581210001), we get a palindrome (10582428501).

The spelling of 10001218500 in words is "ten billion, one million, two hundred eighteen thousand, five hundred".