11000000001001 has 4 divisors (see below), whose sum is σ = 12000000001104. Its totient is φ = 10000000000900.

The previous prime is 11000000000963. The next prime is 11000000001019. The reversal of 11000000001001 is 10010000000011.

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 11000000001001 - 2²¹ = 10999997903849 is a prime.

It is a Duffinian number.

11000000001001 is a modest number, since divided by 1001 gives 11 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11000000001091) 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, 500000000035 + ... + 500000000056.

It is an arithmetic number, because the mean of its divisors is an integer number (3000000000276).

Almost surely, 2^{11000000001001} is an apocalyptic number.

11000000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000000001001 is a deficient number, since it is larger than the sum of its proper divisors (1000000000103).

11000000001001 is a wasteful number, since it uses less digits than its factorization.

11000000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000000000102.

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

Adding to 11000000001001 its reverse (10010000000011), we get a palindrome (21010000001012).

The spelling of 11000000001001 in words is "eleven trillion, one thousand, one".