2122011121221 has 24 divisors (see below), whose sum is σ = 3116702184960. Its totient is φ = 1390889988000.

The previous prime is 2122011121171. The next prime is 2122011121247. The reversal of 2122011121221 is 1221211102212.

2122011121221 is a `hidden beast` number, since 212 + 201 + 11 + 21 + 221 = 666.

It is not a de Polignac number, because 2122011121221 - 2¹⁹ = 2122010596933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122011121194 and 2122011121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122011121291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468660 + ... + 2112738.

It is an arithmetic number, because the mean of its divisors is an integer number (129862591040).

Almost surely, 2^{2122011121221} is an apocalyptic number.

It is an amenable number.

2122011121221 is a deficient number, since it is larger than the sum of its proper divisors (994691063739).

2122011121221 is a wasteful number, since it uses less digits than its factorization.

2122011121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646497 (or 1646494 counting only the distinct ones).

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

Adding to 2122011121221 its reverse (1221211102212), we get a palindrome (3343222223433).

The spelling of 2122011121221 in words is "two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-one thousand, two hundred twenty-one".