2112220012221 has 64 divisors (see below), whose sum is σ = 3614850581760. Its totient is φ = 1204712570880.

The previous prime is 2112220012121. The next prime is 2112220012247. The reversal of 2112220012221 is 1222100222112.

It is a happy number.

2112220012221 is a `hidden beast` number, since 211 + 2 + 220 + 0 + 12 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2112220012221 is a prime.

It is a super-2 number, since 2×2112220012221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112220012194 and 2112220012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112220012291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90653245 + ... + 90676541.

It is an arithmetic number, because the mean of its divisors is an integer number (56482040340).

Almost surely, 2^{2112220012221} is an apocalyptic number.

It is an amenable number.

2112220012221 is a deficient number, since it is larger than the sum of its proper divisors (1502630569539).

2112220012221 is a wasteful number, since it uses less digits than its factorization.

2112220012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41291 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112220012221 its reverse (1222100222112), we get a palindrome (3334320234333).

The spelling of 2112220012221 in words is "two trillion, one hundred twelve billion, two hundred twenty million, twelve thousand, two hundred twenty-one".