2122112102221 has 8 divisors (see below), whose sum is σ = 2160533077560. Its totient is φ = 2084035709952.

The previous prime is 2122112102219. The next prime is 2122112102239. The reversal of 2122112102221 is 1222012112212.

It can be written as a sum of positive squares in 4 ways, for example, as 336719075625 + 1785393026596 = 580275^2 + 1336186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122112102221 - 2¹ = 2122112102219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112102261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86133340 + ... + 86157973.

It is an arithmetic number, because the mean of its divisors is an integer number (270066634695).

Almost surely, 2^{2122112102221} is an apocalyptic number.

It is an amenable number.

2122112102221 is a deficient number, since it is larger than the sum of its proper divisors (38420975339).

2122112102221 is a wasteful number, since it uses less digits than its factorization.

2122112102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172291535.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2122112102221 its reverse (1222012112212), we get a palindrome (3344124214433).

Subtracting from 2122112102221 its reverse (1222012112212), we obtain a palindrome (900099990009).

The spelling of 2122112102221 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".