110011101110001 has 240 divisors, whose sum is σ = 205246043060240. Its totient is φ = 56401001395200.

The previous prime is 110011101109993. The next prime is 110011101110011. The reversal of 110011101110001 is 100011101110011.

It can be written as a sum of positive squares in 8 ways, for example, as 10114594319025 + 99896506790976 = 3180345^2 + 9994824^2 .

It is not a de Polignac number, because 110011101110001 - 2³ = 110011101109993 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110011101110011) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11111105151 + ... + 11111115051.

Almost surely, 2^{110011101110001} is an apocalyptic number.

It is an amenable number.

110011101110001 is a deficient number, since it is larger than the sum of its proper divisors (95234941950239).

110011101110001 is a wasteful number, since it uses less digits than its factorization.

110011101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11030 counting only the distinct ones).

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

Adding to 110011101110001 its reverse (100011101110011), we get a palindrome (210022202220012).

The spelling of 110011101110001 in words is "one hundred ten trillion, eleven billion, one hundred one million, one hundred ten thousand, one".