101001101000111 has 8 divisors (see below), whose sum is σ = 109322550558144. Its totient is φ = 92758527741600.

The previous prime is 101001101000027. The next prime is 101001101000113. The reversal of 101001101000111 is 111000101100101.

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 101001101000111 - 2¹⁸ = 101001100737967 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 (101001101000113) 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, 19719072215 + ... + 19719077336.

It is an arithmetic number, because the mean of its divisors is an integer number (13665318819768).

Almost surely, 2^{101001101000111} is an apocalyptic number.

101001101000111 is a deficient number, since it is larger than the sum of its proper divisors (8321449558033).

101001101000111 is a wasteful number, since it uses less digits than its factorization.

101001101000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39438149761.

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

Adding to 101001101000111 its reverse (111000101100101), we get a palindrome (212001202100212).

The spelling of 101001101000111 in words is "one hundred one trillion, one billion, one hundred one million, one hundred eleven", and thus it is an aban number.