2112111000121 has 2 divisors, whose sum is σ = 2112111000122. Its totient is φ = 2112111000120.

The previous prime is 2112111000107. The next prime is 2112111000149. The reversal of 2112111000121 is 1210001112112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1530010668096 + 582100332025 = 1236936^2 + 762955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112111000121 - 2¹³ = 2112110991929 is a prime.

It is a super-2 number, since 2×2112111000121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112111007121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055500060 + 1056055500061.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055500061).

Almost surely, 2^{2112111000121} is an apocalyptic number.

It is an amenable number.

2112111000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111000121 is an equidigital number, since it uses as much as digits as its factorization.

2112111000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112111000121 its reverse (1210001112112), we get a palindrome (3322112112233).

The spelling of 2112111000121 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.