100018000810000 has 1125 divisors, whose sum is σ = 307858516951491. Its totient is φ = 31452430464000.

The previous prime is 100018000809989. The next prime is 100018000810019. The reversal of 100018000810000 is 18000810001.

The square root of 100018000810000 is 10000900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 39848565255184 + 60169435554816 = 6312572^2 + 7756896^2 .

It is a super-2 number, since 2×100018000810000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100018000810000.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 637057329922 + ... + 637057330078.

Almost surely, 2^{100018000810000} is an apocalyptic number.

100018000810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100018000810000 is the 10000900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100018000810000

100018000810000 is an abundant number, since it is smaller than the sum of its proper divisors (207840516141491).

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

100018000810000 is an frugal number, since it uses more digits than its factorization.

100018000810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Subtracting from 100018000810000 its reverse (18000810001), we obtain a palindrome (99999999999999).

The spelling of 100018000810000 in words is "one hundred trillion, eighteen billion, eight hundred ten thousand".