110000100011001 has 64 divisors (see below), whose sum is σ = 154703658310656. Its totient is φ = 69431281920000.

The previous prime is 110000100010991. The next prime is 110000100011027. The reversal of 110000100011001 is 100110001000011.

It is not a de Polignac number, because 110000100011001 - 2³⁰ = 109999026269177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110000100011401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5640731751 + ... + 5640751251.

It is an arithmetic number, because the mean of its divisors is an integer number (2417244661104).

Almost surely, 2^{110000100011001} is an apocalyptic number.

It is an amenable number.

110000100011001 is a deficient number, since it is larger than the sum of its proper divisors (44703558299655).

110000100011001 is a wasteful number, since it uses less digits than its factorization.

110000100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22722.

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

Adding to 110000100011001 its reverse (100110001000011), we get a palindrome (210110101011012).

It can be divided in two parts, 110000 and 100011001, that added together give a palindrome (100121001).

The spelling of 110000100011001 in words is "one hundred ten trillion, one hundred million, eleven thousand, one".