2120122211221 has 24 divisors (see below), whose sum is σ = 2492048835000. Its totient is φ = 1798339423104.

The previous prime is 2120122211219. The next prime is 2120122211257. The reversal of 2120122211221 is 1221122210212.

It can be written as a sum of positive squares in 4 ways, for example, as 16766624196 + 2103355587025 = 129486^2 + 1450295^2 .

It is not a de Polignac number, because 2120122211221 - 2¹ = 2120122211219 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 (2120122311221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424215 + ... + 2503723.

It is an arithmetic number, because the mean of its divisors is an integer number (103835368125).

Almost surely, 2^{2120122211221} is an apocalyptic number.

It is an amenable number.

2120122211221 is a deficient number, since it is larger than the sum of its proper divisors (371926623779).

2120122211221 is a wasteful number, since it uses less digits than its factorization.

2120122211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079941 (or 1079934 counting only the distinct ones).

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

Adding to 2120122211221 its reverse (1221122210212), we get a palindrome (3341244421433).

The spelling of 2120122211221 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".