110011100111001 has 96 divisors (see below), whose sum is σ = 178249562516480. Its totient is φ = 65083104460800.

The previous prime is 110011100110993. The next prime is 110011100111093. The reversal of 110011100111001 is 100111001110011.

It is not a de Polignac number, because 110011100111001 - 2³ = 110011100110993 is a prime.

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

110011100111001 is a modest number, since divided by 1100111001 gives 11001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (110011100115001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36401361 + ... + 39307521.

Almost surely, 2^{110011100111001} is an apocalyptic number.

It is an amenable number.

110011100111001 is a deficient number, since it is larger than the sum of its proper divisors (68238462405479).

110011100111001 is a wasteful number, since it uses less digits than its factorization.

110011100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906447 (or 2906444 counting only the distinct ones).

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

Adding to 110011100111001 its reverse (100111001110011), we get a palindrome (210122101221012).

It can be divided in two parts, 11001110011 and 1001, that multiplied together give a palindrome (11012111121011).

The spelling of 110011100111001 in words is "one hundred ten trillion, eleven billion, one hundred million, one hundred eleven thousand, one".