11000001120111 has 16 divisors (see below), whose sum is σ = 16525823281920. Its totient is φ = 7230047683320.

The previous prime is 11000001120103. The next prime is 11000001120113. The reversal of 11000001120111 is 11102110000011.

It is not a de Polignac number, because 11000001120111 - 2³ = 11000001120103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000001120093 and 11000001120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869064625 + ... + 2869068458.

It is an arithmetic number, because the mean of its divisors is an integer number (1032863955120).

Almost surely, 2^{11000001120111} is an apocalyptic number.

11000001120111 is a deficient number, since it is larger than the sum of its proper divisors (5525822161809).

11000001120111 is an equidigital number, since it uses as much as digits as its factorization.

11000001120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738133163 (or 5738133157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000001120111 its reverse (11102110000011), we get a palindrome (22102111120122).

The spelling of 11000001120111 in words is "eleven trillion, one million, one hundred twenty thousand, one hundred eleven".