102211003320031 has 2 divisors, whose sum is σ = 102211003320032. Its totient is φ = 102211003320030.

The previous prime is 102211003320029. The next prime is 102211003320059. The reversal of 102211003320031 is 130023300112201.

It is a weak prime.

It is an emirp because it is prime and its reverse (130023300112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102211003320031 - 2¹ = 102211003320029 is a prime.

It is a super-2 number, since 2×102211003320031² (a number of 29 digits) contains 22 as substring.

Together with 102211003320029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102211003319990 and 102211003320008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211003320061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105501660015 + 51105501660016.

It is an arithmetic number, because the mean of its divisors is an integer number (51105501660016).

Almost surely, 2^{102211003320031} is an apocalyptic number.

102211003320031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211003320031 is an equidigital number, since it uses as much as digits as its factorization.

102211003320031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102211003320031 its reverse (130023300112201), we get a palindrome (232234303432232).

The spelling of 102211003320031 in words is "one hundred two trillion, two hundred eleven billion, three million, three hundred twenty thousand, thirty-one".