211201100112209 has 2 divisors, whose sum is σ = 211201100112210. Its totient is φ = 211201100112208.

The previous prime is 211201100112181. The next prime is 211201100112257. The reversal of 211201100112209 is 902211001102112.

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., 136280875123600 + 74920224988609 = 11673940^2 + 8655647^2 .

It is a cyclic number.

It is not a de Polignac number, because 211201100112209 - 2⁴⁰ = 210101588484433 is a prime.

It is not a weakly prime, because it can be changed into another prime (211201100162209) 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, 105600550056104 + 105600550056105.

It is an arithmetic number, because the mean of its divisors is an integer number (105600550056105).

Almost surely, 2^{211201100112209} is an apocalyptic number.

It is an amenable number.

211201100112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

211201100112209 is an equidigital number, since it uses as much as digits as its factorization.

211201100112209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 211201100112209 in words is "two hundred eleven trillion, two hundred one billion, one hundred million, one hundred twelve thousand, two hundred nine".