100201111218 has 96 divisors (see below), whose sum is σ = 236774184192. Its totient is φ = 30441744000.

The previous prime is 100201111211. The next prime is 100201111223. The reversal of 100201111218 is 812111102001.

100201111218 is digitally balanced in base 3, 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 a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201111218.

It is not an unprimeable number, because it can be changed into a prime (100201111211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5892288 + ... + 5909268.

It is an arithmetic number, because the mean of its divisors is an integer number (2466397752).

Almost surely, 2^100201111218 is an apocalyptic number.

100201111218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201111218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118387092096).

100201111218 is an abundant number, since it is smaller than the sum of its proper divisors (136573072974).

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

100201111218 is a wasteful number, since it uses less digits than its factorization.

100201111218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17320 (or 17317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100201111218 its reverse (812111102001), we get a palindrome (912312213219).

The spelling of 100201111218 in words is "one hundred billion, two hundred one million, one hundred eleven thousand, two hundred eighteen".