18201000020100 has 72 divisors (see below), whose sum is σ = 52851674234688. Its totient is φ = 4836077961600.

The previous prime is 18201000020059. The next prime is 18201000020113. The reversal of 18201000020100 is 102000010281.

18201000020100 is digitally balanced in base 6, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 18201000020100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109429536 + ... + 109595735.

Almost surely, 2^{18201000020100} is an apocalyptic number.

18201000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18201000020100 is an abundant number, since it is smaller than the sum of its proper divisors (34650674214588).

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

18201000020100 is a wasteful number, since it uses less digits than its factorization.

18201000020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219025565 (or 219025558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 18201000020100 its reverse (102000010281), we get a palindrome (18303000030381).

The spelling of 18201000020100 in words is "eighteen trillion, two hundred one billion, twenty thousand, one hundred".