1100001001001 has 24 divisors (see below), whose sum is σ = 1274474988864. Its totient is φ = 930029950080.

The previous prime is 1100001000953. The next prime is 1100001001061. The reversal of 1100001001001 is 1001001000011.

It is not a de Polignac number, because 1100001001001 - 2³⁴ = 1082821131817 is a prime.

1100001001001 is a modest number, since divided by 1001001 gives 1100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1100001001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23319626 + ... + 23366748.

It is an arithmetic number, because the mean of its divisors is an integer number (53103124536).

Almost surely, 2^{1100001001001} is an apocalyptic number.

It is an amenable number.

1100001001001 is a deficient number, since it is larger than the sum of its proper divisors (174473987863).

1100001001001 is an frugal number, since it uses more digits than its factorization.

1100001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47729 (or 47640 counting only the distinct ones).

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

Adding to 1100001001001 its reverse (1001001000011), we get a palindrome (2101002001012).

The spelling of 1100001001001 in words is "one trillion, one hundred billion, one million, one thousand, one".