102212311223249 has 2 divisors, whose sum is σ = 102212311223250. Its totient is φ = 102212311223248.

The previous prime is 102212311223237. The next prime is 102212311223261. The reversal of 102212311223249 is 942322113212201.

It is a balanced prime because it is at equal distance from previous prime (102212311223237) and next prime (102212311223261).

It can be written as a sum of positive squares in only one way, i.e., 100130682667024 + 2081628556225 = 10006532^2 + 1442785^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212311223249 - 2¹² = 102212311219153 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212311123249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106155611624 + 51106155611625.

It is an arithmetic number, because the mean of its divisors is an integer number (51106155611625).

Almost surely, 2^{102212311223249} is an apocalyptic number.

It is an amenable number.

102212311223249 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212311223249 is an equidigital number, since it uses as much as digits as its factorization.

102212311223249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 102212311223249 in words is "one hundred two trillion, two hundred twelve billion, three hundred eleven million, two hundred twenty-three thousand, two hundred forty-nine".