1000101100109 has 4 divisors (see below), whose sum is σ = 1058930576604. Its totient is φ = 941271623616.

The previous prime is 1000101100093. The next prime is 1000101100111. The reversal of 1000101100109 is 9010011010001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 424745475625 + 575355624484 = 651725^2 + 758522^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101100109 - 2⁴ = 1000101100093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000101100093 and 1000101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101100129) 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 3 ways as a sum of consecutive naturals, for example, 29414738222 + ... + 29414738255.

It is an arithmetic number, because the mean of its divisors is an integer number (264732644151).

Almost surely, 2^{1000101100109} is an apocalyptic number.

It is an amenable number.

1000101100109 is a deficient number, since it is larger than the sum of its proper divisors (58829476495).

1000101100109 is an equidigital number, since it uses as much as digits as its factorization.

1000101100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58829476494.

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

The spelling of 1000101100109 in words is "one trillion, one hundred one million, one hundred thousand, one hundred nine".