212110010011201 has 2 divisors, whose sum is σ = 212110010011202. Its totient is φ = 212110010011200.

The previous prime is 212110010011177. The next prime is 212110010011313. The reversal of 212110010011201 is 102110010011212.

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., 190222574094400 + 21887435916801 = 13792120^2 + 4678401^2 .

It is a cyclic number.

It is not a de Polignac number, because 212110010011201 - 2²⁵ = 212109976456769 is a prime.

It is not a weakly prime, because it can be changed into another prime (212110010017201) 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, 106055005005600 + 106055005005601.

It is an arithmetic number, because the mean of its divisors is an integer number (106055005005601).

Almost surely, 2^{212110010011201} is an apocalyptic number.

It is an amenable number.

212110010011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212110010011201 is an equidigital number, since it uses as much as digits as its factorization.

212110010011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212110010011201 its reverse (102110010011212), we get a palindrome (314220020022413).

The spelling of 212110010011201 in words is "two hundred twelve trillion, one hundred ten billion, ten million, eleven thousand, two hundred one".