12101222122011 has 24 divisors (see below), whose sum is σ = 19069092549936. Its totient is φ = 7333881661440.

The previous prime is 12101222122009. The next prime is 12101222122037. The reversal of 12101222122011 is 11022122210121.

12101222122011 is a `hidden beast` number, since 1 + 210 + 1 + 2 + 221 + 220 + 11 = 666.

It is not a de Polignac number, because 12101222122011 - 2¹ = 12101222122009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101222122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237071 + ... + 5404343.

It is an arithmetic number, because the mean of its divisors is an integer number (794545522914).

Almost surely, 2^{12101222122011} is an apocalyptic number.

12101222122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101222122011 is a deficient number, since it is larger than the sum of its proper divisors (6967870427925).

12101222122011 is a wasteful number, since it uses less digits than its factorization.

12101222122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205883 (or 3205880 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101222122011 its reverse (11022122210121), we get a palindrome (23123344332132).

The spelling of 12101222122011 in words is "twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, eleven".