2121112311111 has 12 divisors (see below), whose sum is σ = 3063880230840. Its totient is φ = 1414051180080.

The previous prime is 2121112311067. The next prime is 2121112311151. The reversal of 2121112311111 is 1111132111212.

2121112311111 is a `hidden beast` number, since 21 + 211 + 12 + 311 + 111 = 666.

It is not a de Polignac number, because 2121112311111 - 2⁶ = 2121112311047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112311151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398696 + ... + 2489693.

It is an arithmetic number, because the mean of its divisors is an integer number (255323352570).

Almost surely, 2^{2121112311111} is an apocalyptic number.

2121112311111 is a deficient number, since it is larger than the sum of its proper divisors (942767919729).

2121112311111 is a wasteful number, since it uses less digits than its factorization.

2121112311111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949006 (or 3949003 counting only the distinct ones).

The product of its digits is 24, while the sum is 18.

Adding to 2121112311111 its reverse (1111132111212), we get a palindrome (3232244422323).

The spelling of 2121112311111 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, three hundred eleven thousand, one hundred eleven".