10000018200100 has 72 divisors (see below), whose sum is σ = 22129311758400. Its totient is φ = 3921256483200.

The previous prime is 10000018200059. The next prime is 10000018200119. The reversal of 10000018200100 is 100281000001.

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 23 ways as a sum of consecutive naturals, for example, 242511 + ... + 4478710.

It is an arithmetic number, because the mean of its divisors is an integer number (307351552200).

Almost surely, 2^{10000018200100} is an apocalyptic number.

10000018200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000018200100 is an abundant number, since it is smaller than the sum of its proper divisors (12129293558300).

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

10000018200100 is a wasteful number, since it uses less digits than its factorization.

10000018200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721653 (or 4721646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10000018200100 its reverse (100281000001), we get a palindrome (10100299200101).

The spelling of 10000018200100 in words is "ten trillion, eighteen million, two hundred thousand, one hundred".