2112121022221 has 16 divisors (see below), whose sum is σ = 2417111547264. Its totient is φ = 1807946869824.

The previous prime is 2112121022201. The next prime is 2112121022287. The reversal of 2112121022221 is 1222201212112.

It is a cyclic number.

It is not a de Polignac number, because 2112121022221 - 2¹⁷ = 2112120891149 is a prime.

It is a super-2 number, since 2×2112121022221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121022201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15788611 + ... + 15921823.

It is an arithmetic number, because the mean of its divisors is an integer number (151069471704).

Almost surely, 2^{2112121022221} is an apocalyptic number.

It is an amenable number.

2112121022221 is a deficient number, since it is larger than the sum of its proper divisors (304990525043).

2112121022221 is a wasteful number, since it uses less digits than its factorization.

2112121022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136260.

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

Adding to 2112121022221 its reverse (1222201212112), we get a palindrome (3334322234333).

The spelling of 2112121022221 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty-one".