102110210113 has 2 divisors, whose sum is σ = 102110210114. Its totient is φ = 102110210112.

The previous prime is 102110210087. The next prime is 102110210117. The reversal of 102110210113 is 311012011201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96884655169 + 5225554944 = 311263^2 + 72288^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110210113 - 2¹⁷ = 102110079041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102110210093 and 102110210102.

It is not a weakly prime, because it can be changed into another prime (102110210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055105056 + 51055105057.

It is an arithmetic number, because the mean of its divisors is an integer number (51055105057).

Almost surely, 2^102110210113 is an apocalyptic number.

It is an amenable number.

102110210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110210113 is an equidigital number, since it uses as much as digits as its factorization.

102110210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102110210113 its reverse (311012011201), we get a palindrome (413122221314).

The spelling of 102110210113 in words is "one hundred two billion, one hundred ten million, two hundred ten thousand, one hundred thirteen".