101101000000111 has 8 divisors (see below), whose sum is σ = 101377007617280. Its totient is φ = 100824995253528.

The previous prime is 101101000000087. The next prime is 101101000000213. The reversal of 101101000000111 is 111000000101101.

It is a happy number.

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 101101000000111 - 2⁵ = 101101000000079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101000000094 and 101101000000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000000811) 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, 83185360 + ... + 84391978.

It is an arithmetic number, because the mean of its divisors is an integer number (12672125952160).

Almost surely, 2^{101101000000111} is an apocalyptic number.

101101000000111 is a deficient number, since it is larger than the sum of its proper divisors (276007617169).

101101000000111 is a wasteful number, since it uses less digits than its factorization.

101101000000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435293.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101000000111 its reverse (111000000101101), we get a palindrome (212101000101212).

The spelling of 101101000000111 in words is "one hundred one trillion, one hundred one billion, one hundred eleven", and thus it is an aban number.