1101000001001 has 16 divisors (see below), whose sum is σ = 1137944457216. Its totient is φ = 1064577600000.

The previous prime is 1101000000943. The next prime is 1101000001019. The reversal of 1101000001001 is 1001000001011.

It is a cyclic number.

It is not a de Polignac number, because 1101000001001 - 2³⁰ = 1099926259177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101000001051) 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, 1862801 + ... + 2381601.

It is an arithmetic number, because the mean of its divisors is an integer number (71121528576).

Almost surely, 2^{1101000001001} is an apocalyptic number.

It is an amenable number.

1101000001001 is a deficient number, since it is larger than the sum of its proper divisors (36944456215).

1101000001001 is a wasteful number, since it uses less digits than its factorization.

1101000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519304.

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

Adding to 1101000001001 its reverse (1001000001011), we get a palindrome (2102000002012).

The spelling of 1101000001001 in words is "one trillion, one hundred one billion, one thousand, one".