110001110011001 has 32 divisors (see below), whose sum is σ = 123189466450176. Its totient is φ = 97374484480000.

The previous prime is 110001110010973. The next prime is 110001110011007. The reversal of 110001110011001 is 100110011100011.

It is a cyclic number.

It is not a de Polignac number, because 110001110011001 - 2¹⁰ = 110001110009977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110001110011001.

It is not an unprimeable number, because it can be changed into a prime (110001110011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61527101 + ... + 63289701.

It is an arithmetic number, because the mean of its divisors is an integer number (3849670826568).

Almost surely, 2^{110001110011001} is an apocalyptic number.

110001110011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001110011001 is a deficient number, since it is larger than the sum of its proper divisors (13188356439175).

110001110011001 is a wasteful number, since it uses less digits than its factorization.

110001110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763473.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110001110011001 its reverse (100110011100011), we get a palindrome (210111121111012).

It can be divided in two parts, 1100011 and 10011001, that multiplied together give a palindrome (11012211221011).

The spelling of 110001110011001 in words is "one hundred ten trillion, one billion, one hundred ten million, eleven thousand, one".