101100011101101 has 24 divisors (see below), whose sum is σ = 146314187248320. Its totient is φ = 67270514389056.

The previous prime is 101100011101091. The next prime is 101100011101153. The reversal of 101100011101101 is 101101110001101.

It is not a de Polignac number, because 101100011101101 - 2⁷ = 101100011100973 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 (101100011111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4563505 + ... + 14934041.

It is an arithmetic number, because the mean of its divisors is an integer number (6096424468680).

Almost surely, 2^{101100011101101} is an apocalyptic number.

It is an amenable number.

101100011101101 is a deficient number, since it is larger than the sum of its proper divisors (45214176147219).

101100011101101 is a wasteful number, since it uses less digits than its factorization.

101100011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372625 (or 10372622 counting only the distinct ones).

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

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

The spelling of 101100011101101 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred one thousand, one hundred one".