2122111122221 has 32 divisors (see below), whose sum is σ = 2386480352256. Its totient is φ = 1877468544000.

The previous prime is 2122111122199. The next prime is 2122111122223. The reversal of 2122111122221 is 1222211112212.

It is a cyclic number.

It is not a de Polignac number, because 2122111122221 - 2³⁸ = 1847233215277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122111122193 and 2122111122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111122223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3842951 + ... + 4360331.

It is an arithmetic number, because the mean of its divisors is an integer number (74577511008).

Almost surely, 2^{2122111122221} is an apocalyptic number.

It is an amenable number.

2122111122221 is a deficient number, since it is larger than the sum of its proper divisors (264369230035).

2122111122221 is a wasteful number, since it uses less digits than its factorization.

2122111122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517653.

The product of its digits is 128, while the sum is 20.

Adding to 2122111122221 its reverse (1222211112212), we get a palindrome (3344322234433).

The spelling of 2122111122221 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".