102212120212093 has 2 divisors, whose sum is σ = 102212120212094. Its totient is φ = 102212120212092.

The previous prime is 102212120212091. The next prime is 102212120212117. The reversal of 102212120212093 is 390212021212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64424814621049 + 37787305591044 = 8026507^2 + 6147138^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212120212093 - 2¹ = 102212120212091 is a prime.

Together with 102212120212091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212120212091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106060106046 + 51106060106047.

It is an arithmetic number, because the mean of its divisors is an integer number (51106060106047).

Almost surely, 2^{102212120212093} is an apocalyptic number.

It is an amenable number.

102212120212093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212120212093 is an equidigital number, since it uses as much as digits as its factorization.

102212120212093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 102212120212093 its reverse (390212021212201), we get a palindrome (492424141424294).

The spelling of 102212120212093 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, ninety-three".