110011100011101 has 12 divisors (see below), whose sum is σ = 163199649866812. Its totient is φ = 71358551358336.

The previous prime is 110011100011079. The next prime is 110011100011123. The reversal of 110011100011101 is 101110001110011.

It is an interprime number because it is at equal distance from previous prime (110011100011079) and next prime (110011100011123).

It can be written as a sum of positive squares in 2 ways, for example, as 98055030371076 + 11956069640025 = 9902274^2 + 3457755^2 .

It is not a de Polignac number, because 110011100011101 - 2⁶ = 110011100011037 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011100011151) 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, 165181831516 + ... + 165181832181.

Almost surely, 2^{110011100011101} is an apocalyptic number.

It is an amenable number.

110011100011101 is a deficient number, since it is larger than the sum of its proper divisors (53188549855711).

110011100011101 is a wasteful number, since it uses less digits than its factorization.

110011100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330363663740 (or 330363663737 counting only the distinct ones).

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

Adding to 110011100011101 its reverse (101110001110011), we get a palindrome (211121101121112).

The spelling of 110011100011101 in words is "one hundred ten trillion, eleven billion, one hundred million, eleven thousand, one hundred one".