1101101101 has 8 divisors (see below), whose sum is σ = 1190678400. Its totient is φ = 1014280128.

The previous prime is 1101101077. The next prime is 1101101123. The reversal of 1101101101 is 1011011011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1101101101 - 2⁵ = 1101101069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688251 + ... + 689848.

It is an arithmetic number, because the mean of its divisors is an integer number (148834800).

Almost surely, 2^1101101101 is an apocalyptic number.

It is an amenable number.

1101101101 is a deficient number, since it is larger than the sum of its proper divisors (89577299).

1101101101 is a wasteful number, since it uses less digits than its factorization.

1101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378163.

The product of its (nonzero) digits is 1, while the sum is 7.

The square root of 1101101101 is about 33182.8434736989. The cubic root of 1101101101 is about 1032.6244383707.

Adding to 1101101101 its reverse (1011011011), we get a palindrome (2112112112).

The spelling of 1101101101 in words is "one billion, one hundred one million, one hundred one thousand, one hundred one".