18200101100 has 72 divisors (see below), whose sum is σ = 40290077520. Its totient is φ = 7134462720.

The previous prime is 18200101091. The next prime is 18200101123. The reversal of 18200101100 is 110100281.

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, 1313006 + ... + 1326794.

It is an arithmetic number, because the mean of its divisors is an integer number (559584410).

Almost surely, 2^18200101100 is an apocalyptic number.

18200101100 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 18200101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145038760).

18200101100 is an abundant number, since it is smaller than the sum of its proper divisors (22089976420).

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

18200101100 is a wasteful number, since it uses less digits than its factorization.

18200101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14067 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 18200101100 its reverse (110100281), we get a palindrome (18310201381).

The spelling of 18200101100 in words is "eighteen billion, two hundred million, one hundred one thousand, one hundred".