102213113212361 has 2 divisors, whose sum is σ = 102213113212362. Its totient is φ = 102213113212360.

The previous prime is 102213113212319. The next prime is 102213113212381. The reversal of 102213113212361 is 163212311312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56543481811600 + 45669631400761 = 7519540^2 + 6757931^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213113212361 - 2³⁰ = 102212039470537 is a prime.

It is not a weakly prime, because it can be changed into another prime (102213113212381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106556606180 + 51106556606181.

It is an arithmetic number, because the mean of its divisors is an integer number (51106556606181).

Almost surely, 2^{102213113212361} is an apocalyptic number.

It is an amenable number.

102213113212361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213113212361 is an equidigital number, since it uses as much as digits as its factorization.

102213113212361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 102213113212361 its reverse (163212311312201), we get a palindrome (265425424524562).

The spelling of 102213113212361 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, three hundred sixty-one".