212102220110113 has 2 divisors, whose sum is σ = 212102220110114. Its totient is φ = 212102220110112.

The previous prime is 212102220110111. The next prime is 212102220110147. The reversal of 212102220110113 is 311011022201212.

212102220110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172722993177744 + 39379226932369 = 13142412^2 + 6275287^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102220110113 - 2¹ = 212102220110111 is a prime.

Together with 212102220110111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212102220110111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051110055056 + 106051110055057.

It is an arithmetic number, because the mean of its divisors is an integer number (106051110055057).

Almost surely, 2^{212102220110113} is an apocalyptic number.

It is an amenable number.

212102220110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102220110113 is an equidigital number, since it uses as much as digits as its factorization.

212102220110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 212102220110113 its reverse (311011022201212), we get a palindrome (523113242311325).

The spelling of 212102220110113 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty million, one hundred ten thousand, one hundred thirteen".