102011222113 has 2 divisors, whose sum is σ = 102011222114. Its totient is φ = 102011222112.

The previous prime is 102011222111. The next prime is 102011222143. The reversal of 102011222113 is 311222110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101979951649 + 31270464 = 319343^2 + 5592^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011222113 - 2¹ = 102011222111 is a prime.

Together with 102011222111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102011222111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005611056 + 51005611057.

It is an arithmetic number, because the mean of its divisors is an integer number (51005611057).

Almost surely, 2^102011222113 is an apocalyptic number.

It is an amenable number.

102011222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011222113 is an equidigital number, since it uses as much as digits as its factorization.

102011222113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102011222113 its reverse (311222110201), we get a palindrome (413233332314).

The spelling of 102011222113 in words is "one hundred two billion, eleven million, two hundred twenty-two thousand, one hundred thirteen".