2122101211221 has 12 divisors (see below), whose sum is σ = 3245566558572. Its totient is φ = 1331514485376.

The previous prime is 2122101211213. The next prime is 2122101211253. The reversal of 2122101211221 is 1221121012212.

2122101211221 is a `hidden beast` number, since 21 + 2 + 210 + 1 + 211 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1690598052900 + 431503158321 = 1300230^2 + 656889^2 .

It is not a de Polignac number, because 2122101211221 - 2³ = 2122101211213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122101211194 and 2122101211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122101211261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6934971126 + ... + 6934971431.

It is an arithmetic number, because the mean of its divisors is an integer number (270463879881).

Almost surely, 2^{2122101211221} is an apocalyptic number.

It is an amenable number.

2122101211221 is a deficient number, since it is larger than the sum of its proper divisors (1123465347351).

2122101211221 is a wasteful number, since it uses less digits than its factorization.

2122101211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13869942580 (or 13869942577 counting only the distinct ones).

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

Adding to 2122101211221 its reverse (1221121012212), we get a palindrome (3343222223433).

The spelling of 2122101211221 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred eleven thousand, two hundred twenty-one".