110111110001001 has 24 divisors (see below), whose sum is σ = 163496917873224. Its totient is φ = 71358314515200.

The previous prime is 110111110000999. The next prime is 110111110001047. The reversal of 110111110001001 is 100100011111011.

It can be written as a sum of positive squares in 4 ways, for example, as 48895335950400 + 61215774050601 = 6992520^2 + 7824051^2 .

It is not a de Polignac number, because 110111110001001 - 2¹ = 110111110000999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (110111110001401) 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 23 ways as a sum of consecutive naturals, for example, 150347550 + ... + 151078151.

It is an arithmetic number, because the mean of its divisors is an integer number (6812371578051).

Almost surely, 2^{110111110001001} is an apocalyptic number.

It is an amenable number.

110111110001001 is a deficient number, since it is larger than the sum of its proper divisors (53385807872223).

110111110001001 is a wasteful number, since it uses less digits than its factorization.

110111110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301426841 (or 301426838 counting only the distinct ones).

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

Adding to 110111110001001 its reverse (100100011111011), we get a palindrome (210211121112012).

The spelling of 110111110001001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, one thousand, one".