102112022113 has 2 divisors, whose sum is σ = 102112022114. Its totient is φ = 102112022112.

The previous prime is 102112022087. The next prime is 102112022137. The reversal of 102112022113 is 311220211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98660694609 + 3451327504 = 314103^2 + 58748^2 .

It is an emirp because it is prime and its reverse (311220211201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112022113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112022153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056011056 + 51056011057.

It is an arithmetic number, because the mean of its divisors is an integer number (51056011057).

Almost surely, 2^102112022113 is an apocalyptic number.

It is an amenable number.

102112022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112022113 is an equidigital number, since it uses as much as digits as its factorization.

102112022113 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 102112022113 its reverse (311220211201), we get a palindrome (413332233314).

The spelling of 102112022113 in words is "one hundred two billion, one hundred twelve million, twenty-two thousand, one hundred thirteen".