110011101101001 has 16 divisors (see below), whose sum is σ = 162985496654400. Its totient is φ = 73337994640224.

The previous prime is 110011101100951. The next prime is 110011101101021. The reversal of 110011101101001 is 100101101110011.

110011101101001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 110011101101001 - 2⁶ = 110011101100937 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 (110011101101021) 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, 75358831 + ... + 76804788.

It is an arithmetic number, because the mean of its divisors is an integer number (10186593540900).

Almost surely, 2^{110011101101001} is an apocalyptic number.

It is an amenable number.

110011101101001 is a deficient number, since it is larger than the sum of its proper divisors (52974395553399).

110011101101001 is a wasteful number, since it uses less digits than its factorization.

110011101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152190405 (or 152190399 counting only the distinct ones).

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

Adding to 110011101101001 its reverse (100101101110011), we get a palindrome (210112202211012).

The spelling of 110011101101001 in words is "one hundred ten trillion, eleven billion, one hundred one million, one hundred one thousand, one".