110011110101001 has 48 divisors (see below), whose sum is σ = 164384381761600. Its totient is φ = 70840610411904.

The previous prime is 110011110100873. The next prime is 110011110101027. The reversal of 110011110101001 is 100101011110011.

It is not a de Polignac number, because 110011110101001 - 2⁷ = 110011110100873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110011110101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808426995 + ... + 808563063.

Almost surely, 2^{110011110101001} is an apocalyptic number.

It is an amenable number.

110011110101001 is a deficient number, since it is larger than the sum of its proper divisors (54373271660599).

110011110101001 is a wasteful number, since it uses less digits than its factorization.

110011110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153718 (or 153715 counting only the distinct ones).

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

Adding to 110011110101001 its reverse (100101011110011), we get a palindrome (210112121211012).

The spelling of 110011110101001 in words is "one hundred ten trillion, eleven billion, one hundred ten million, one hundred one thousand, one".