102100011113 has 2 divisors, whose sum is σ = 102100011114. Its totient is φ = 102100011112.

The previous prime is 102100010981. The next prime is 102100011149. The reversal of 102100011113 is 311110001201.

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., 76752823849 + 25347187264 = 277043^2 + 159208^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100011113 - 2¹² = 102100007017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100011094 and 102100011103.

It is not a weakly prime, because it can be changed into another prime (102100011163) 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, 51050005556 + 51050005557.

It is an arithmetic number, because the mean of its divisors is an integer number (51050005557).

Almost surely, 2^102100011113 is an apocalyptic number.

It is an amenable number.

102100011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100011113 is an equidigital number, since it uses as much as digits as its factorization.

102100011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 102100011113 its reverse (311110001201), we get a palindrome (413210012314).

The spelling of 102100011113 in words is "one hundred two billion, one hundred million, eleven thousand, one hundred thirteen".