2122121101221 has 72 divisors (see below), whose sum is σ = 3683787123744. Its totient is φ = 1210478618880.

The previous prime is 2122121101169. The next prime is 2122121101223. The reversal of 2122121101221 is 1221011212212.

2122121101221 is a `hidden beast` number, since 212 + 21 + 211 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 2122121101221 - 2¹⁷ = 2122120970149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122121101194 and 2122121101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121101223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601050 + ... + 2146043.

It is an arithmetic number, because the mean of its divisors is an integer number (51163710052).

Almost surely, 2^{2122121101221} is an apocalyptic number.

It is an amenable number.

2122121101221 is a deficient number, since it is larger than the sum of its proper divisors (1561666022523).

2122121101221 is a wasteful number, since it uses less digits than its factorization.

2122121101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747153 (or 2747124 counting only the distinct ones).

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

Adding to 2122121101221 its reverse (1221011212212), we get a palindrome (3343132313433).

The spelling of 2122121101221 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty-one".