214251809212201 has 2 divisors, whose sum is σ = 214251809212202. Its totient is φ = 214251809212200.

The previous prime is 214251809212141. The next prime is 214251809212229. The reversal of 214251809212201 is 102212908152412.

214251809212201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135952335219600 + 78299473992601 = 11659860^2 + 8848699^2 .

It is a cyclic number.

It is not a de Polignac number, because 214251809212201 - 2¹⁹ = 214251808687913 is a prime.

It is not a weakly prime, because it can be changed into another prime (214251809212241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107125904606100 + 107125904606101.

It is an arithmetic number, because the mean of its divisors is an integer number (107125904606101).

Almost surely, 2^{214251809212201} is an apocalyptic number.

It is an amenable number.

214251809212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

214251809212201 is an equidigital number, since it uses as much as digits as its factorization.

214251809212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 214251809212201 in words is "two hundred fourteen trillion, two hundred fifty-one billion, eight hundred nine million, two hundred twelve thousand, two hundred one".