110100111001101 has 48 divisors (see below), whose sum is σ = 174068602466304. Its totient is φ = 66653889887232.

The previous prime is 110100111001093. The next prime is 110100111001193. The reversal of 110100111001101 is 101100111001011.

It is not a de Polignac number, because 110100111001101 - 2³ = 110100111001093 is a prime.

It is a super-2 number, since 2×110100111001101² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100111001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27150541 + ... + 30941106.

It is an arithmetic number, because the mean of its divisors is an integer number (3626429218048).

Almost surely, 2^{110100111001101} is an apocalyptic number.

It is an amenable number.

110100111001101 is a deficient number, since it is larger than the sum of its proper divisors (63968491465203).

110100111001101 is a wasteful number, since it uses less digits than its factorization.

110100111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58091930 (or 58091927 counting only the distinct ones).

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

Adding to 110100111001101 its reverse (101100111001011), we get a palindrome (211200222002112).

The spelling of 110100111001101 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one thousand, one hundred one".