100020000101 has 16 divisors (see below), whose sum is σ = 116444321280. Its totient is φ = 84134574960.

The previous prime is 100020000083. The next prime is 100020000107. The reversal of 100020000101 is 101000020001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100020000101 - 2³⁰ = 98946258277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36146 + ... + 448716.

It is an arithmetic number, because the mean of its divisors is an integer number (7277770080).

Almost surely, 2^100020000101 is an apocalyptic number.

It is an amenable number.

100020000101 is a deficient number, since it is larger than the sum of its proper divisors (16424321179).

100020000101 is an equidigital number, since it uses as much as digits as its factorization.

100020000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413224.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100020000101 its reverse (101000020001), we get a palindrome (201020020102).

The spelling of 100020000101 in words is "one hundred billion, twenty million, one hundred one", and thus it is an aban number.