101100101111111 has 8 divisors (see below), whose sum is σ = 101198724577104. Its totient is φ = 101001482265600.

The previous prime is 101100101111083. The next prime is 101100101111227. The reversal of 101100101111111 is 111111101001101.

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 101100101111111 - 2³⁰ = 101099027369287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100101111092 and 101100101111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101111011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43467911 + ... + 45734663.

It is an arithmetic number, because the mean of its divisors is an integer number (12649840572138).

Almost surely, 2^{101100101111111} is an apocalyptic number.

101100101111111 is a deficient number, since it is larger than the sum of its proper divisors (98623465993).

101100101111111 is a wasteful number, since it uses less digits than its factorization.

101100101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310241.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101100101111111 its reverse (111111101001101), we get a palindrome (212211202112212).

The spelling of 101100101111111 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred eleven".