11000111111001 has 6 divisors (see below), whose sum is σ = 15889049382570. Its totient is φ = 7333407407328.

The previous prime is 11000111110981. The next prime is 11000111111009. The reversal of 11000111111001 is 10011111100011.

It can be written as a sum of positive squares in only one way, i.e., 9025524071001 + 1974587040000 = 3004251^2 + 1405200^2 .

It is not a de Polignac number, because 11000111111001 - 2¹¹ = 11000111108953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222234567889 = 11000111111001 / (1 + 1 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11000111111009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611117283936 + ... + 611117283953.

It is an arithmetic number, because the mean of its divisors is an integer number (2648174897095).

Almost surely, 2^{11000111111001} is an apocalyptic number.

It is an amenable number.

11000111111001 is a deficient number, since it is larger than the sum of its proper divisors (4888938271569).

11000111111001 is a wasteful number, since it uses less digits than its factorization.

11000111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222234567895 (or 1222234567892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000111111001 its reverse (10011111100011), we get a palindrome (21011222211012).

The spelling of 11000111111001 in words is "eleven trillion, one hundred eleven million, one hundred eleven thousand, one".