101100101100011 has 16 divisors (see below), whose sum is σ = 112788062755200. Its totient is φ = 89979809582208.

The previous prime is 101100101099957. The next prime is 101100101100017. The reversal of 101100101100011 is 110001101001101.

It is not a de Polignac number, because 101100101100011 - 2³⁴ = 101082921230827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100101100017) 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, 186217136 + ... + 186759261.

It is an arithmetic number, because the mean of its divisors is an integer number (7049253922200).

Almost surely, 2^{101100101100011} is an apocalyptic number.

101100101100011 is a deficient number, since it is larger than the sum of its proper divisors (11687961655189).

101100101100011 is a wasteful number, since it uses less digits than its factorization.

101100101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372977158.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100101100011 its reverse (110001101001101), we get a palindrome (211101202101112).

The spelling of 101100101100011 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred thousand, eleven".