110000001001001 has 8 divisors (see below), whose sum is σ = 111068785925760. Its totient is φ = 108931231917792.

The previous prime is 110000001000991. The next prime is 110000001001019. The reversal of 110000001001001 is 100100100000011.

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 110000001001001 - 2¹⁴ = 110000000984617 is a prime.

It is a Duffinian number.

110000001001001 is a modest number, since divided by 1001001 gives 110000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (110000001001021) 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 7 ways as a sum of consecutive naturals, for example, 10240796 + ... + 18024258.

It is an arithmetic number, because the mean of its divisors is an integer number (13883598240720).

Almost surely, 2^{110000001001001} is an apocalyptic number.

It is an amenable number.

110000001001001 is a deficient number, since it is larger than the sum of its proper divisors (1068784924759).

110000001001001 is a wasteful number, since it uses less digits than its factorization.

110000001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920775.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110000001001001 its reverse (100100100000011), we get a palindrome (210100101001012).

The spelling of 110000001001001 in words is "one hundred ten trillion, one million, one thousand, one".