101101101100009 has 16 divisors (see below), whose sum is σ = 108705006950400. Its totient is φ = 93726168261264.

The previous prime is 101101101099991. The next prime is 101101101100019. The reversal of 101101101100009 is 900001101101101.

It is a cyclic number.

It is not a de Polignac number, because 101101101100009 - 2⁹ = 101101101099497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101101099965 and 101101101100001.

It is not an unprimeable number, because it can be changed into a prime (101101101100019) 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, 4378827 + ... + 14878720.

It is an arithmetic number, because the mean of its divisors is an integer number (6794062934400).

Almost surely, 2^{101101101100009} is an apocalyptic number.

101101101100009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101101101100009 is a deficient number, since it is larger than the sum of its proper divisors (7603905850391).

101101101100009 is a wasteful number, since it uses less digits than its factorization.

101101101100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19263492.

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

The spelling of 101101101100009 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred thousand, nine".