101101100011009 has 8 divisors (see below), whose sum is σ = 116387501995008. Its totient is φ = 86025544951200.

The previous prime is 101101100010979. The next prime is 101101100011013. The reversal of 101101100011009 is 900110001101101.

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 101101100011009 - 2⁹ = 101101100010497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101100010983 and 101101100011001.

It is not an unprimeable number, because it can be changed into a prime (101101100011039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52711730017 + ... + 52711731934.

It is an arithmetic number, because the mean of its divisors is an integer number (14548437749376).

Almost surely, 2^{101101100011009} is an apocalyptic number.

It is an amenable number.

101101100011009 is a deficient number, since it is larger than the sum of its proper divisors (15286401983999).

101101100011009 is a wasteful number, since it uses less digits than its factorization.

101101100011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105423462095.

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

The spelling of 101101100011009 in words is "one hundred one trillion, one hundred one billion, one hundred million, eleven thousand, nine".