2112112011221 has 4 divisors (see below), whose sum is σ = 2236353894252. Its totient is φ = 1987870128192.

The previous prime is 2112112011199. The next prime is 2112112011259. The reversal of 2112112011221 is 1221102112112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1059487310596 + 1052624700625 = 1029314^2 + 1025975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112011221 - 2⁶ = 2112112011157 is a prime.

It is a super-2 number, since 2×2112112011221² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 124241883013 = 2112112011221 / (2 + 1 + 1 + 2 + 1 + 1 + 2 + 0 + 1 + 1 + 2 + 2 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112112011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112019221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62120941490 + ... + 62120941523.

It is an arithmetic number, because the mean of its divisors is an integer number (559088473563).

Almost surely, 2^{2112112011221} is an apocalyptic number.

It is an amenable number.

2112112011221 is a deficient number, since it is larger than the sum of its proper divisors (124241883031).

2112112011221 is a wasteful number, since it uses less digits than its factorization.

2112112011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124241883030.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112112011221 its reverse (1221102112112), we get a palindrome (3333214123333).

The spelling of 2112112011221 in words is "two trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, two hundred twenty-one".