102012200113 has 2 divisors, whose sum is σ = 102012200114. Its totient is φ = 102012200112.

The previous prime is 102012200099. The next prime is 102012200131. The reversal of 102012200113 is 311002210201.

Together with next prime (102012200131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99974851344 + 2037348769 = 316188^2 + 45137^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012200113 - 2¹⁷ = 102012069041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012200093 and 102012200102.

It is not a weakly prime, because it can be changed into another prime (102012200153) 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, 51006100056 + 51006100057.

It is an arithmetic number, because the mean of its divisors is an integer number (51006100057).

Almost surely, 2^102012200113 is an apocalyptic number.

It is an amenable number.

102012200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012200113 is an equidigital number, since it uses as much as digits as its factorization.

102012200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102012200113 its reverse (311002210201), we get a palindrome (413014410314).

The spelling of 102012200113 in words is "one hundred two billion, twelve million, two hundred thousand, one hundred thirteen".