2011122102221 has 16 divisors (see below), whose sum is σ = 2060830197888. Its totient is φ = 1961549352000.

The previous prime is 2011122102161. The next prime is 2011122102233. The reversal of 2011122102221 is 1222012211102.

It is a cyclic number.

It is not a de Polignac number, because 2011122102221 - 2¹⁴ = 2011122085837 is a prime.

It is a super-2 number, since 2×2011122102221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2011122102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011122102421) 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 15 ways as a sum of consecutive naturals, for example, 111987575 + ... + 112005531.

It is an arithmetic number, because the mean of its divisors is an integer number (128801887368).

Almost surely, 2^{2011122102221} is an apocalyptic number.

It is an amenable number.

2011122102221 is a deficient number, since it is larger than the sum of its proper divisors (49708095667).

2011122102221 is a wasteful number, since it uses less digits than its factorization.

2011122102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2011122102221 its reverse (1222012211102), we get a palindrome (3233134313323).

The spelling of 2011122102221 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".