102226034311309 has 2 divisors, whose sum is σ = 102226034311310. Its totient is φ = 102226034311308.

The previous prime is 102226034311253. The next prime is 102226034311343. The reversal of 102226034311309 is 903113430622201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95336574762025 + 6889459549284 = 9764045^2 + 2624778^2 .

It is an emirp because it is prime and its reverse (903113430622201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102226034311309 - 2¹⁵ = 102226034278541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102226034311369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51113017155654 + 51113017155655.

It is an arithmetic number, because the mean of its divisors is an integer number (51113017155655).

Almost surely, 2^{102226034311309} is an apocalyptic number.

It is an amenable number.

102226034311309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102226034311309 is an equidigital number, since it uses as much as digits as its factorization.

102226034311309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 102226034311309 in words is "one hundred two trillion, two hundred twenty-six billion, thirty-four million, three hundred eleven thousand, three hundred nine".