11001001111111 has 32 divisors (see below), whose sum is σ = 12436342603776. Its totient is φ = 9644425056000.

The previous prime is 11001001111081. The next prime is 11001001111201. The reversal of 11001001111111 is 11111110010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11001001111111 - 2²¹ = 11000999013959 is a prime.

It is a Duffinian number.

11001001111111 is a modest number, since divided by 1111111 gives 1100100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001001111211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15167701 + ... + 15876433.

It is an arithmetic number, because the mean of its divisors is an integer number (388635706368).

Almost surely, 2^{11001001111111} is an apocalyptic number.

11001001111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001001111111 is a deficient number, since it is larger than the sum of its proper divisors (1435341492665).

11001001111111 is a wasteful number, since it uses less digits than its factorization.

11001001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709183.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11001001111111 its reverse (11111110010011), we get a palindrome (22112111121122).

It can be divided in two parts, 110010011 and 11111, that multiplied together give a palindrome (1222321232221).

The spelling of 11001001111111 in words is "eleven trillion, one billion, one million, one hundred eleven thousand, one hundred eleven".