102211120212109 has 2 divisors, whose sum is σ = 102211120212110. Its totient is φ = 102211120212108.

The previous prime is 102211120212107. The next prime is 102211120212137. The reversal of 102211120212109 is 901212021112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98742418834084 + 3468701378025 = 9936922^2 + 1862445^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211120212109 - 2¹ = 102211120212107 is a prime.

It is a super-3 number, since 3×102211120212109³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102211120212107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211120212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105560106054 + 51105560106055.

It is an arithmetic number, because the mean of its divisors is an integer number (51105560106055).

Almost surely, 2^{102211120212109} is an apocalyptic number.

It is an amenable number.

102211120212109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211120212109 is an equidigital number, since it uses as much as digits as its factorization.

102211120212109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 102211120212109 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, two hundred twelve thousand, one hundred nine".