110100011011001 has 16 divisors (see below), whose sum is σ = 120178141544448. Its totient is φ = 100033391264400.

The previous prime is 110100011010973. The next prime is 110100011011091. The reversal of 110100011011001 is 100110110001011.

It is a de Polignac number, because none of the positive numbers 2^k-110100011011001 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 110100011011001.

It is not an unprimeable number, because it can be changed into a prime (110100011011091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588667166 + ... + 588854168.

It is an arithmetic number, because the mean of its divisors is an integer number (7511133846528).

Almost surely, 2^{110100011011001} is an apocalyptic number.

110100011011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100011011001 is a deficient number, since it is larger than the sum of its proper divisors (10078130533447).

110100011011001 is a wasteful number, since it uses less digits than its factorization.

110100011011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217492.

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

Adding to 110100011011001 its reverse (100110110001011), we get a palindrome (210210121012012).

The spelling of 110100011011001 in words is "one hundred ten trillion, one hundred billion, eleven million, eleven thousand, one".