212100010001329 has 2 divisors, whose sum is σ = 212100010001330. Its totient is φ = 212100010001328.

The previous prime is 212100010001177. The next prime is 212100010001357. The reversal of 212100010001329 is 923100010001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159715202071104 + 52384807930225 = 12637848^2 + 7237735^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100010001329 - 2⁹ = 212100010000817 is a prime.

It is not a weakly prime, because it can be changed into another prime (212100310001329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050005000664 + 106050005000665.

It is an arithmetic number, because the mean of its divisors is an integer number (106050005000665).

Almost surely, 2^{212100010001329} is an apocalyptic number.

It is an amenable number.

212100010001329 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100010001329 is an equidigital number, since it uses as much as digits as its factorization.

212100010001329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 212100010001329 in words is "two hundred twelve trillion, one hundred billion, ten million, one thousand, three hundred twenty-nine".