100201200020 has 24 divisors (see below), whose sum is σ = 212786821800. Its totient is φ = 39630136832.

The previous prime is 100201200013. The next prime is 100201200041. The reversal of 100201200020 is 20002102001.

It can be written as a sum of positive squares in 4 ways, for example, as 14148150916 + 86053049104 = 118946^2 + 293348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201199980 and 100201200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28144625 + ... + 28148184.

It is an arithmetic number, because the mean of its divisors is an integer number (8866117575).

Almost surely, 2^100201200020 is an apocalyptic number.

100201200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201200020 is an abundant number, since it is smaller than the sum of its proper divisors (112585621780).

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

100201200020 is a wasteful number, since it uses less digits than its factorization.

100201200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56292907 (or 56292905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100201200020 its reverse (20002102001), we get a palindrome (120203302021).

The spelling of 100201200020 in words is "one hundred billion, two hundred one million, two hundred thousand, twenty".