101100101101101 has 24 divisors (see below), whose sum is σ = 156801482420544. Its totient is φ = 62541901806720.

The previous prime is 101100101101093. The next prime is 101100101101121. The reversal of 101100101101101 is 101101101001101.

It is not a de Polignac number, because 101100101101101 - 2³ = 101100101101093 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 (101100101101121) 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, 4653404451 + ... + 4653426176.

It is an arithmetic number, because the mean of its divisors is an integer number (6533395100856).

Almost surely, 2^{101100101101101} is an apocalyptic number.

It is an amenable number.

101100101101101 is a deficient number, since it is larger than the sum of its proper divisors (55701381319443).

101100101101101 is a wasteful number, since it uses less digits than its factorization.

101100101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306830721 (or 9306830718 counting only the distinct ones).

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

Adding to 101100101101101 its reverse (101101101001101), we get a palindrome (202201202102202).

The spelling of 101100101101101 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred one".