101101110101001 has 12 divisors (see below), whose sum is σ = 146965095647812. Its totient is φ = 66971435989536.

The previous prime is 101101110100999. The next prime is 101101110101041. The reversal of 101101110101001 is 100101011101101.

It can be written as a sum of positive squares in 2 ways, for example, as 58990095611001 + 42111014490000 = 7680501^2 + 6489300^2 .

It is not a de Polignac number, because 101101110101001 - 2¹ = 101101110100999 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101110101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35775338326 + ... + 35775341151.

Almost surely, 2^{101101110101001} is an apocalyptic number.

It is an amenable number.

101101110101001 is a deficient number, since it is larger than the sum of its proper divisors (45863985546811).

101101110101001 is a wasteful number, since it uses less digits than its factorization.

101101110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71550679640 (or 71550679637 counting only the distinct ones).

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

Adding to 101101110101001 its reverse (100101011101101), we get a palindrome (201202121202102).

The spelling of 101101110101001 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one".