102223101110113 has 2 divisors, whose sum is σ = 102223101110114. Its totient is φ = 102223101110112.

The previous prime is 102223101110083. The next prime is 102223101110161. The reversal of 102223101110113 is 311011101322201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94307560819264 + 7915540290849 = 9711208^2 + 2813457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102223101110113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102223101111113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111550555056 + 51111550555057.

It is an arithmetic number, because the mean of its divisors is an integer number (51111550555057).

Almost surely, 2^{102223101110113} is an apocalyptic number.

It is an amenable number.

102223101110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223101110113 is an equidigital number, since it uses as much as digits as its factorization.

102223101110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102223101110113 its reverse (311011101322201), we get a palindrome (413234202432314).

The spelling of 102223101110113 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred one million, one hundred ten thousand, one hundred thirteen".