2121102112221 has 12 divisors (see below), whose sum is σ = 3063909969120. Its totient is φ = 1414023856200.

The previous prime is 2121102112183. The next prime is 2121102112229. The reversal of 2121102112221 is 1222112011212.

2121102112221 is a `hidden beast` number, since 21 + 211 + 0 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 2121102112221 - 2¹⁰ = 2121102111197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121102112194 and 2121102112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121102112229) 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, 3379755 + ... + 3957896.

It is an arithmetic number, because the mean of its divisors is an integer number (255325830760).

Almost surely, 2^{2121102112221} is an apocalyptic number.

It is an amenable number.

2121102112221 is a deficient number, since it is larger than the sum of its proper divisors (942807856899).

2121102112221 is a wasteful number, since it uses less digits than its factorization.

2121102112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369776 (or 7369773 counting only the distinct ones).

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

Adding to 2121102112221 its reverse (1222112011212), we get a palindrome (3343214123433).

The spelling of 2121102112221 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred twelve thousand, two hundred twenty-one".