101101011101101 has 16 divisors (see below), whose sum is σ = 110958801451200. Its totient is φ = 91355171281920.

The previous prime is 101101011101087. The next prime is 101101011101131. The reversal of 101101011101101 is 101101110101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101011101101 - 2⁹ = 101101011100589 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 (101101011101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18004626 + ... + 22942723.

It is an arithmetic number, because the mean of its divisors is an integer number (6934925090700).

Almost surely, 2^{101101011101101} is an apocalyptic number.

101101011101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101011101101 is a deficient number, since it is larger than the sum of its proper divisors (9857790350099).

101101011101101 is a wasteful number, since it uses less digits than its factorization.

101101011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40948716.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101011101101 its reverse (101101110101101), we get a palindrome (202202121202202).

The spelling of 101101011101101 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred one".