101101100000111 has 8 divisors (see below), whose sum is σ = 101163301085184. Its totient is φ = 101038900609080.

The previous prime is 101101100000093. The next prime is 101101100000129. The reversal of 101101100000111 is 111000001101101.

It is an interprime number because it is at equal distance from previous prime (101101100000093) and next prime (101101100000129).

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 101101100000111 - 2¹⁴ = 101101099983727 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 (101101100000611) 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 7 ways as a sum of consecutive naturals, for example, 131604326 + ... + 132370316.

It is an arithmetic number, because the mean of its divisors is an integer number (12645412635648).

Almost surely, 2^{101101100000111} is an apocalyptic number.

101101100000111 is a deficient number, since it is larger than the sum of its proper divisors (62201085073).

101101100000111 is an equidigital number, since it uses as much as digits as its factorization.

101101100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847021.

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

Adding to 101101100000111 its reverse (111000001101101), we get a palindrome (212101101101212).

The spelling of 101101100000111 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred eleven", and thus it is an aban number.