101101110001101 has 24 divisors (see below), whose sum is σ = 166899996806400. Its totient is φ = 57771049898016.

The previous prime is 101101110001093. The next prime is 101101110001163. The reversal of 101101110001101 is 101100011101101.

It is not a de Polignac number, because 101101110001101 - 2³ = 101101110001093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110005101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10439925 + ... + 17640698.

It is an arithmetic number, because the mean of its divisors is an integer number (6954166533600).

Almost surely, 2^{101101110001101} is an apocalyptic number.

It is an amenable number.

101101110001101 is a deficient number, since it is larger than the sum of its proper divisors (65798886805299).

101101110001101 is a wasteful number, since it uses less digits than its factorization.

101101110001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28137785 (or 28137782 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101110001101 its reverse (101100011101101), we get a palindrome (202201121102202).

The spelling of 101101110001101 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one thousand, one hundred one".