110001001101001 has 8 divisors (see below), whose sum is σ = 110113068384000. Its totient is φ = 109888935971760.

The previous prime is 110001001100959. The next prime is 110001001101077. The reversal of 110001001101001 is 100101100100011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110001001101001 - 2⁹ = 110001001100489 is a prime.

It is a Duffinian number.

110001001101001 is a modest number, since divided by 1101001 gives 1100010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (110001001102001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114068550 + ... + 115028848.

It is an arithmetic number, because the mean of its divisors is an integer number (13764133548000).

Almost surely, 2^{110001001101001} is an apocalyptic number.

It is an amenable number.

110001001101001 is a deficient number, since it is larger than the sum of its proper divisors (112067282999).

110001001101001 is an equidigital number, since it uses as much as digits as its factorization.

110001001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076879.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110001001101001 its reverse (100101100100011), we get a palindrome (210102101201012).

The spelling of 110001001101001 in words is "one hundred ten trillion, one billion, one million, one hundred one thousand, one".