110101101101001 has 12 divisors (see below), whose sum is σ = 159038488839412. Its totient is φ = 73399088670336.

The previous prime is 110101101100993. The next prime is 110101101101027. The reversal of 110101101101001 is 100101101101011.

It can be written as a sum of positive squares in 2 ways, for example, as 63070583006601 + 47030518094400 = 7941699^2 + 6857880^2 .

It is not a de Polignac number, because 110101101101001 - 2³ = 110101101100993 is a prime.

It is a super-2 number, since 2×110101101101001² (a number of 29 digits) contains 22 as substring.

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 (110101101101701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136692556 + ... + 137495661.

Almost surely, 2^{110101101101001} is an apocalyptic number.

It is an amenable number.

110101101101001 is a deficient number, since it is larger than the sum of its proper divisors (48937387738411).

110101101101001 is a wasteful number, since it uses less digits than its factorization.

110101101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274232840 (or 274232837 counting only the distinct ones).

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

Adding to 110101101101001 its reverse (100101101101011), we get a palindrome (210202202202012).

The spelling of 110101101101001 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, one".