102022113113 has 2 divisors, whose sum is σ = 102022113114. Its totient is φ = 102022113112.

The previous prime is 102022113049. The next prime is 102022113131. The reversal of 102022113113 is 311311220201.

Together with next prime (102022113131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97685627209 + 4336485904 = 312547^2 + 65852^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022113113 - 2⁶ = 102022113049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022113091 and 102022113100.

It is not a weakly prime, because it can be changed into another prime (102022112113) 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, 51011056556 + 51011056557.

It is an arithmetic number, because the mean of its divisors is an integer number (51011056557).

Almost surely, 2^102022113113 is an apocalyptic number.

It is an amenable number.

102022113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022113113 is an equidigital number, since it uses as much as digits as its factorization.

102022113113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102022113113 its reverse (311311220201), we get a palindrome (413333333314).

The spelling of 102022113113 in words is "one hundred two billion, twenty-two million, one hundred thirteen thousand, one hundred thirteen".