102110001200113 has 2 divisors, whose sum is σ = 102110001200114. Its totient is φ = 102110001200112.

The previous prime is 102110001200107. The next prime is 102110001200131. The reversal of 102110001200113 is 311002100011201.

It is a happy number.

Together with next prime (102110001200131) 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., 89720924684769 + 12389076515344 = 9472113^2 + 3519812^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110001200113 - 2²¹ = 102109999102961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102110001200093 and 102110001200102.

It is not a weakly prime, because it can be changed into another prime (102110001200413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055000600056 + 51055000600057.

It is an arithmetic number, because the mean of its divisors is an integer number (51055000600057).

Almost surely, 2^{102110001200113} is an apocalyptic number.

It is an amenable number.

102110001200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110001200113 is an equidigital number, since it uses as much as digits as its factorization.

102110001200113 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 102110001200113 its reverse (311002100011201), we get a palindrome (413112101211314).

The spelling of 102110001200113 in words is "one hundred two trillion, one hundred ten billion, one million, two hundred thousand, one hundred thirteen".