212111012122129 has 2 divisors, whose sum is σ = 212111012122130. Its totient is φ = 212111012122128.

The previous prime is 212111012122103. The next prime is 212111012122133. The reversal of 212111012122129 is 921221210111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145983133193104 + 66127878929025 = 12082348^2 + 8131905^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111012122129 - 2⁴⁷ = 71373523766801 is a prime.

It is a super-2 number, since 2×212111012122129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111012122097 and 212111012122106.

It is not a weakly prime, because it can be changed into another prime (212111012122199) 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, 106055506061064 + 106055506061065.

It is an arithmetic number, because the mean of its divisors is an integer number (106055506061065).

Almost surely, 2^{212111012122129} is an apocalyptic number.

It is an amenable number.

212111012122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111012122129 is an equidigital number, since it uses as much as digits as its factorization.

212111012122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 212111012122129 in words is "two hundred twelve trillion, one hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred twenty-nine".