101101100101111 has 16 divisors (see below), whose sum is σ = 113399069124096. Its totient is φ = 89337501720000.

The previous prime is 101101100101091. The next prime is 101101100101151. The reversal of 101101100101111 is 111101001101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101100101111 - 2¹⁵ = 101101100068343 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 (101101100101151) 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 15 ways as a sum of consecutive naturals, for example, 413477325 + ... + 413721766.

It is an arithmetic number, because the mean of its divisors is an integer number (7087441820256).

Almost surely, 2^{101101100101111} is an apocalyptic number.

101101100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101100101111 is a deficient number, since it is larger than the sum of its proper divisors (12297969022985).

101101100101111 is a wasteful number, since it uses less digits than its factorization.

101101100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827199414.

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

Adding to 101101100101111 its reverse (111101001101101), we get a palindrome (212202101202212).

The spelling of 101101100101111 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred eleven".