212112322129 has 2 divisors, whose sum is σ = 212112322130. Its totient is φ = 212112322128.

The previous prime is 212112322091. The next prime is 212112322153. The reversal of 212112322129 is 921223211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203342374225 + 8769947904 = 450935^2 + 93648^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112322129 - 2²³ = 212103933521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112322097 and 212112322106.

It is not a weakly prime, because it can be changed into another prime (212112322729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056161064 + 106056161065.

It is an arithmetic number, because the mean of its divisors is an integer number (106056161065).

Almost surely, 2^212112322129 is an apocalyptic number.

It is an amenable number.

212112322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112322129 is an equidigital number, since it uses as much as digits as its factorization.

212112322129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The spelling of 212112322129 in words is "two hundred twelve billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twenty-nine".