2112211000121 has 2 divisors, whose sum is σ = 2112211000122. Its totient is φ = 2112211000120.

The previous prime is 2112211000111. The next prime is 2112211000127. The reversal of 2112211000121 is 1210001122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2043081444496 + 69129555625 = 1429364^2 + 262925^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112211000121 - 2¹⁸ = 2112210737977 is a prime.

It is a super-2 number, since 2×2112211000121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112211000096 and 2112211000105.

It is not a weakly prime, because it can be changed into another prime (2112211000127) 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, 1056105500060 + 1056105500061.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105500061).

Almost surely, 2^{2112211000121} is an apocalyptic number.

It is an amenable number.

2112211000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211000121 is an equidigital number, since it uses as much as digits as its factorization.

2112211000121 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 14.

Adding to 2112211000121 its reverse (1210001122112), we get a palindrome (3322212122233).

The spelling of 2112211000121 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.