10020000100109 has 4 divisors (see below), whose sum is σ = 10020006447516. Its totient is φ = 10019993752704.

The previous prime is 10020000100051. The next prime is 10020000100153. The reversal of 10020000100109 is 90100100002001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 5736743522500 + 4283256577609 = 2395150^2 + 2069603^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020000100109 - 2²⁰ = 10019999051533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020000100093 and 10020000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020000100609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1243517 + ... + 4646109.

It is an arithmetic number, because the mean of its divisors is an integer number (2505001611879).

Almost surely, 2^{10020000100109} is an apocalyptic number.

It is an amenable number.

10020000100109 is a deficient number, since it is larger than the sum of its proper divisors (6347407).

10020000100109 is an equidigital number, since it uses as much as digits as its factorization.

10020000100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347406.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10020000100109 in words is "ten trillion, twenty billion, one hundred thousand, one hundred nine".