212100220000049 has 2 divisors, whose sum is σ = 212100220000050. Its totient is φ = 212100220000048.

The previous prime is 212100219999923. The next prime is 212100220000051. The reversal of 212100220000049 is 940000022001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154862294919424 + 57237925080625 = 12444368^2 + 7565575^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100220000049 - 2⁸ = 212100219999793 is a prime.

Together with 212100220000051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100219999979 and 212100220000033.

It is not a weakly prime, because it can be changed into another prime (212100220000069) 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, 106050110000024 + 106050110000025.

It is an arithmetic number, because the mean of its divisors is an integer number (106050110000025).

Almost surely, 2^{212100220000049} is an apocalyptic number.

It is an amenable number.

212100220000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100220000049 is an equidigital number, since it uses as much as digits as its factorization.

212100220000049 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 23.

The spelling of 212100220000049 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty million, forty-nine", and thus it is an aban number.