2112220000001 has 2 divisors, whose sum is σ = 2112220000002. Its totient is φ = 2112220000000.

The previous prime is 2112219999959. The next prime is 2112220000003. The reversal of 2112220000001 is 1000000222112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2063819560000 + 48400440001 = 1436600^2 + 220001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112220000001 - 2¹⁴ = 2112219983617 is a prime.

It is a super-2 number, since 2×2112220000001² (a number of 25 digits) contains 22 as substring.

Together with 2112220000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2112220000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056110000000 + 1056110000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1056110000001).

Almost surely, 2^{2112220000001} is an apocalyptic number.

It is an amenable number.

2112220000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112220000001 is an equidigital number, since it uses as much as digits as its factorization.

2112220000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2112220000001 its reverse (1000000222112), we get a palindrome (3112220222113).

The spelling of 2112220000001 in words is "two trillion, one hundred twelve billion, two hundred twenty million, one", and thus it is an aban number.