110001000001101 has 16 divisors (see below), whose sum is σ = 160007397884928. Its totient is φ = 66664796337200.

The previous prime is 110001000001097. The next prime is 110001000001111. The reversal of 110001000001101 is 101100000100011.

It is a cyclic number.

It is not a de Polignac number, because 110001000001101 - 2² = 110001000001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110001000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001000001111) 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 15 ways as a sum of consecutive naturals, for example, 61007715 + ... + 62784896.

It is an arithmetic number, because the mean of its divisors is an integer number (10000462367808).

Almost surely, 2^{110001000001101} is an apocalyptic number.

110001000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001000001101 is a deficient number, since it is larger than the sum of its proper divisors (50006397883827).

110001000001101 is a wasteful number, since it uses less digits than its factorization.

110001000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123819552.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001000001101 its reverse (101100000100011), we get a palindrome (211101000101112).

The spelling of 110001000001101 in words is "one hundred ten trillion, one billion, one thousand, one hundred one".