201320000100 has 90 divisors (see below), whose sum is σ = 652599932754. Its totient is φ = 53685331200.

The previous prime is 201320000093. The next prime is 201320000171. The reversal of 201320000100 is 1000023102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70003634724 + 131316365376 = 264582^2 + 362376^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12419061 + ... + 12435260.

Almost surely, 2^201320000100 is an apocalyptic number.

201320000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201320000100 is an abundant number, since it is smaller than the sum of its proper divisors (451279932654).

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

201320000100 is a wasteful number, since it uses less digits than its factorization.

201320000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24854347 (or 24854331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201320000100 its reverse (1000023102), we get a palindrome (202320023202).

The spelling of 201320000100 in words is "two hundred one billion, three hundred twenty million, one hundred", and thus it is an aban number.