2122101121221 has 64 divisors (see below), whose sum is σ = 3238503024640. Its totient is φ = 1372914385920.

The previous prime is 2122101121201. The next prime is 2122101121279. The reversal of 2122101121221 is 1221211012212.

2122101121221 is a `hidden beast` number, since 212 + 210 + 1 + 1 + 21 + 221 = 666.

It is not a de Polignac number, because 2122101121221 - 2²⁵ = 2122067566789 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122101121194 and 2122101121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122101121201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35931606 + ... + 35990616.

It is an arithmetic number, because the mean of its divisors is an integer number (50601609760).

Almost surely, 2^{2122101121221} is an apocalyptic number.

It is an amenable number.

2122101121221 is a deficient number, since it is larger than the sum of its proper divisors (1116401903419).

2122101121221 is a wasteful number, since it uses less digits than its factorization.

2122101121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59383 (or 59377 counting only the distinct ones).

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

Adding to 2122101121221 its reverse (1221211012212), we get a palindrome (3343312133433).

The spelling of 2122101121221 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty-one".