102212232210241 has 2 divisors, whose sum is σ = 102212232210242. Its totient is φ = 102212232210240.

The previous prime is 102212232210239. The next prime is 102212232210307. The reversal of 102212232210241 is 142012232212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95656302403216 + 6555929807025 = 9780404^2 + 2560455^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212232210241 - 2¹ = 102212232210239 is a prime.

It is a super-3 number, since 3×102212232210241³ (a number of 43 digits) contains 333 as substring.

Together with 102212232210239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102212232211241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106116105120 + 51106116105121.

It is an arithmetic number, because the mean of its divisors is an integer number (51106116105121).

Almost surely, 2^{102212232210241} is an apocalyptic number.

It is an amenable number.

102212232210241 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212232210241 is an equidigital number, since it uses as much as digits as its factorization.

102212232210241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102212232210241 its reverse (142012232212201), we get a palindrome (244224464422442).

The spelling of 102212232210241 in words is "one hundred two trillion, two hundred twelve billion, two hundred thirty-two million, two hundred ten thousand, two hundred forty-one".