11011101201111 has 16 divisors (see below), whose sum is σ = 16016555399040. Its totient is φ = 6673224585120.

The previous prime is 11011101201101. The next prime is 11011101201131. The reversal of 11011101201111 is 11110210111011.

It is not a de Polignac number, because 11011101201111 - 2¹⁰ = 11011101200087 is a prime.

It is a super-2 number, since 2×11011101201111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011101201101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931520 + ... + 5533173.

It is an arithmetic number, because the mean of its divisors is an integer number (1001034712440).

Almost surely, 2^{11011101201111} is an apocalyptic number.

11011101201111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011101201111 is a deficient number, since it is larger than the sum of its proper divisors (5005454197929).

11011101201111 is a wasteful number, since it uses less digits than its factorization.

11011101201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504126.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11011101201111 its reverse (11110210111011), we get a palindrome (22121311312122).

The spelling of 11011101201111 in words is "eleven trillion, eleven billion, one hundred one million, two hundred one thousand, one hundred eleven".