101001000100109 has 8 divisors (see below), whose sum is σ = 101195462502072. Its totient is φ = 100806540007680.

The previous prime is 101001000100093. The next prime is 101001000100151. The reversal of 101001000100109 is 901001000100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34628776082884 + 66372224017225 = 5884622^2 + 8146915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001000100109 - 2⁴ = 101001000100093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001000100093 and 101001000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000100199) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105815657 + ... + 106765889.

It is an arithmetic number, because the mean of its divisors is an integer number (12649432812759).

Almost surely, 2^{101001000100109} is an apocalyptic number.

It is an amenable number.

101001000100109 is a deficient number, since it is larger than the sum of its proper divisors (194462401963).

101001000100109 is an equidigital number, since it uses as much as digits as its factorization.

101001000100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154767.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101001000100109 in words is "one hundred one trillion, one billion, one hundred thousand, one hundred nine".