1100000001001 has 4 divisors (see below), whose sum is σ = 1200000001104. Its totient is φ = 1000000000900.

The previous prime is 1100000000927. The next prime is 1100000001013. The reversal of 1100000001001 is 1001000000011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1100000001001 - 2¹⁷ = 1099999869929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100000001041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50000000035 + ... + 50000000056.

It is an arithmetic number, because the mean of its divisors is an integer number (300000000276).

Almost surely, 2^{1100000001001} is an apocalyptic number.

1100000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100000001001 is a deficient number, since it is larger than the sum of its proper divisors (100000000103).

1100000001001 is a wasteful number, since it uses less digits than its factorization.

1100000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100000000102.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1100000001001 its reverse (1001000000011), we get a palindrome (2101000001012).

The spelling of 1100000001001 in words is "one trillion, one hundred billion, one thousand, one".