100000218020 has 24 divisors (see below), whose sum is σ = 217241854200. Its totient is φ = 38620773632.

The previous prime is 100000218001. The next prime is 100000218077. The reversal of 100000218020 is 20812000001.

It can be written as a sum of positive squares in 4 ways, for example, as 4015503424 + 95984714596 = 63368^2 + 309814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100000217986 and 100000218004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86206505 + ... + 86207664.

It is an arithmetic number, because the mean of its divisors is an integer number (9051743925).

Almost surely, 2^100000218020 is an apocalyptic number.

100000218020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000218020 is an abundant number, since it is smaller than the sum of its proper divisors (117241636180).

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

100000218020 is a wasteful number, since it uses less digits than its factorization.

100000218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172414207 (or 172414205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100000218020 its reverse (20812000001), we get a palindrome (120812218021).

The spelling of 100000218020 in words is "one hundred billion, two hundred eighteen thousand, twenty".