110011001101001 has 36 divisors (see below), whose sum is σ = 151483679943876. Its totient is φ = 79128791945280.

The previous prime is 110011001100929. The next prime is 110011001101003. The reversal of 110011001101001 is 100101100110011.

It can be written as a sum of positive squares in 2 ways, for example, as 11629300350976 + 98381700750025 = 3410176^2 + 9918755^2 .

It is not a de Polignac number, because 110011001101001 - 2²² = 110010996906697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110011001101001.

It is not an unprimeable number, because it can be changed into a prime (110011001101003) 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 35 ways as a sum of consecutive naturals, for example, 713566430 + ... + 713720583.

It is an arithmetic number, because the mean of its divisors is an integer number (4207879998441).

Almost surely, 2^{110011001101001} is an apocalyptic number.

110011001101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110011001101001 is a deficient number, since it is larger than the sum of its proper divisors (41472678842875).

110011001101001 is a wasteful number, since it uses less digits than its factorization.

110011001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427287062 (or 1427287044 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110011001101001 its reverse (100101100110011), we get a palindrome (210112101211012).

The spelling of 110011001101001 in words is "one hundred ten trillion, eleven billion, one million, one hundred one thousand, one".