101100101110009 has 16 divisors (see below), whose sum is σ = 107469200414160. Its totient is φ = 95107302051840.

The previous prime is 101100101110007. The next prime is 101100101110037. The reversal of 101100101110009 is 900011101001101.

It can be written as a sum of positive squares in 8 ways, for example, as 6920898177600 + 94179202932409 = 2630760^2 + 9704597^2 .

It is not a de Polignac number, because 101100101110009 - 2¹ = 101100101110007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100101109974 and 101100101110001.

It is not an unprimeable number, because it can be changed into a prime (101100101110003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279677 + ... + 15168229.

It is an arithmetic number, because the mean of its divisors is an integer number (6716825025885).

Almost surely, 2^{101100101110009} is an apocalyptic number.

It is an amenable number.

101100101110009 is a deficient number, since it is larger than the sum of its proper divisors (6369099304151).

101100101110009 is an frugal number, since it uses more digits than its factorization.

101100101110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890685 (or 9890651 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 101100101110009 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred ten thousand, nine".