11011121012111 has 64 divisors (see below), whose sum is σ = 12552029208576. Its totient is φ = 9572068598400.

The previous prime is 11011121012081. The next prime is 11011121012117. The reversal of 11011121012111 is 11121012111011.

It is not a de Polignac number, because 11011121012111 - 2¹⁴ = 11011120995727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011121012117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3774808625 + ... + 3774811541.

It is an arithmetic number, because the mean of its divisors is an integer number (196125456384).

Almost surely, 2^{11011121012111} is an apocalyptic number.

11011121012111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011121012111 is a deficient number, since it is larger than the sum of its proper divisors (1540908196465).

11011121012111 is a wasteful number, since it uses less digits than its factorization.

11011121012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11011121012111 its reverse (11121012111011), we get a palindrome (22132133123122).

The spelling of 11011121012111 in words is "eleven trillion, eleven billion, one hundred twenty-one million, twelve thousand, one hundred eleven".