102200111113 has 2 divisors, whose sum is σ = 102200111114. Its totient is φ = 102200111112.

The previous prime is 102200111023. The next prime is 102200111119. The reversal of 102200111113 is 311111002201.

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., 75030522889 + 27169588224 = 273917^2 + 164832^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200111113 - 2²¹ = 102198013961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200111093 and 102200111102.

It is not a weakly prime, because it can be changed into another prime (102200111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100055556 + 51100055557.

It is an arithmetic number, because the mean of its divisors is an integer number (51100055557).

Almost surely, 2^102200111113 is an apocalyptic number.

It is an amenable number.

102200111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200111113 is an equidigital number, since it uses as much as digits as its factorization.

102200111113 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 102200111113 its reverse (311111002201), we get a palindrome (413311113314).

The spelling of 102200111113 in words is "one hundred two billion, two hundred million, one hundred eleven thousand, one hundred thirteen".