2212120121121 has 6 divisors (see below), whose sum is σ = 3195284619410. Its totient is φ = 1474746747408.

The previous prime is 2212120121047. The next prime is 2212120121147. The reversal of 2212120121121 is 1211210212122.

2212120121121 is a `hidden beast` number, since 221 + 212 + 0 + 1 + 211 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1254256644096 + 957863477025 = 1119936^2 + 978705^2 .

It is not a de Polignac number, because 2212120121121 - 2³⁵ = 2177760382753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2212120121094 and 2212120121103.

It is not an unprimeable number, because it can be changed into a prime (2212120121161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122895562276 + ... + 122895562293.

Almost surely, 2^{2212120121121} is an apocalyptic number.

It is an amenable number.

2212120121121 is a deficient number, since it is larger than the sum of its proper divisors (983164498289).

2212120121121 is a wasteful number, since it uses less digits than its factorization.

2212120121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245791124575 (or 245791124572 counting only the distinct ones).

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

Adding to 2212120121121 its reverse (1211210212122), we get a palindrome (3423330333243).

The spelling of 2212120121121 in words is "two trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".