101001110101101 has 96 divisors (see below), whose sum is σ = 180695381188608. Its totient is φ = 53041970741760.

The previous prime is 101001110101079. The next prime is 101001110101163. The reversal of 101001110101101 is 101101011100101.

It is not a de Polignac number, because 101001110101101 - 2¹⁹ = 101001109576813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001110106101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166916440 + ... + 167520446.

It is an arithmetic number, because the mean of its divisors is an integer number (1882243554048).

Almost surely, 2^{101001110101101} is an apocalyptic number.

It is an amenable number.

101001110101101 is a deficient number, since it is larger than the sum of its proper divisors (79694271087507).

101001110101101 is a wasteful number, since it uses less digits than its factorization.

101001110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607711 (or 607708 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101001110101101 its reverse (101101011100101), we get a palindrome (202102121201202).

The spelling of 101001110101101 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred one thousand, one hundred one".