1101101101101 has 8 divisors (see below), whose sum is σ = 1631260890560. Its totient is φ = 734067400716.

The previous prime is 1101101101099. The next prime is 1101101101147. The reversal of 1101101101101 is 1011011011011.

It is not a de Polignac number, because 1101101101101 - 2¹ = 1101101101099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20390761105 + ... + 20390761158.

It is an arithmetic number, because the mean of its divisors is an integer number (203907611320).

Almost surely, 2^{1101101101101} is an apocalyptic number.

It is an amenable number.

1101101101101 is a deficient number, since it is larger than the sum of its proper divisors (530159789459).

1101101101101 is an equidigital number, since it uses as much as digits as its factorization.

1101101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40781522272 (or 40781522266 counting only the distinct ones).

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

Adding to 1101101101101 its reverse (1011011011011), we get a palindrome (2112112112112).

The spelling of 1101101101101 in words is "one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred one".