2102221211121 has 6 divisors (see below), whose sum is σ = 3036541749410. Its totient is φ = 1401480807408.

The previous prime is 2102221211089. The next prime is 2102221211137. The reversal of 2102221211121 is 1211121222012.

2102221211121 is a `hidden beast` number, since 210 + 2 + 221 + 211 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1635493130496 + 466728080625 = 1278864^2 + 683175^2 .

It is not a de Polignac number, because 2102221211121 - 2⁵ = 2102221211089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102221211094 and 2102221211103.

It is not an unprimeable number, because it can be changed into a prime (2102221211821) 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, 116790067276 + ... + 116790067293.

Almost surely, 2^{2102221211121} is an apocalyptic number.

It is an amenable number.

2102221211121 is a deficient number, since it is larger than the sum of its proper divisors (934320538289).

2102221211121 is a wasteful number, since it uses less digits than its factorization.

2102221211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233580134575 (or 233580134572 counting only the distinct ones).

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

Adding to 2102221211121 its reverse (1211121222012), we get a palindrome (3313342433133).

The spelling of 2102221211121 in words is "two trillion, one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".