212010221222113 has 2 divisors, whose sum is σ = 212010221222114. Its totient is φ = 212010221222112.

The previous prime is 212010221222057. The next prime is 212010221222131. The reversal of 212010221222113 is 311222122010212.

212010221222113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (212010221222131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146398795614369 + 65611425607744 = 12099537^2 + 8100088^2 .

It is a cyclic number.

It is not a de Polignac number, because 212010221222113 - 2³³ = 212001631287521 is a prime.

It is not a weakly prime, because it can be changed into another prime (212010221202113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005110611056 + 106005110611057.

It is an arithmetic number, because the mean of its divisors is an integer number (106005110611057).

Almost surely, 2^{212010221222113} is an apocalyptic number.

It is an amenable number.

212010221222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212010221222113 is an equidigital number, since it uses as much as digits as its factorization.

212010221222113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 212010221222113 its reverse (311222122010212), we get a palindrome (523232343232325).

The spelling of 212010221222113 in words is "two hundred twelve trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred thirteen".