102112122107 has 2 divisors, whose sum is σ = 102112122108. Its totient is φ = 102112122106.

The previous prime is 102112121999. The next prime is 102112122127. The reversal of 102112122107 is 701221211201.

It is a happy number.

It is an a-pointer prime, because the next prime (102112122127) can be obtained adding 102112122107 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102112122107 - 2¹⁴ = 102112105723 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056061053 + 51056061054.

It is an arithmetic number, because the mean of its divisors is an integer number (51056061054).

Almost surely, 2^102112122107 is an apocalyptic number.

102112122107 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112122107 is an equidigital number, since it uses as much as digits as its factorization.

102112122107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 102112122107 its reverse (701221211201), we get a palindrome (803333333308).

The spelling of 102112122107 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred seven".