102212102033 has 2 divisors, whose sum is σ = 102212102034. Its totient is φ = 102212102032.

The previous prime is 102212102009. The next prime is 102212102039. The reversal of 102212102033 is 330201212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87345664849 + 14866437184 = 295543^2 + 121928^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212102033 - 2¹⁰ = 102212101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212102039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106051016 + 51106051017.

It is an arithmetic number, because the mean of its divisors is an integer number (51106051017).

Almost surely, 2^102212102033 is an apocalyptic number.

It is an amenable number.

102212102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212102033 is an equidigital number, since it uses as much as digits as its factorization.

102212102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102212102033 its reverse (330201212201), we get a palindrome (432413314234).

The spelling of 102212102033 in words is "one hundred two billion, two hundred twelve million, one hundred two thousand, thirty-three".