100102112107 has 2 divisors, whose sum is σ = 100102112108. Its totient is φ = 100102112106.

The previous prime is 100102112063. The next prime is 100102112179. The reversal of 100102112107 is 701211201001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100102112107 - 2⁷ = 100102111979 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102112207) 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, 50051056053 + 50051056054.

It is an arithmetic number, because the mean of its divisors is an integer number (50051056054).

Almost surely, 2^100102112107 is an apocalyptic number.

100102112107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102112107 is an equidigital number, since it uses as much as digits as its factorization.

100102112107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 100102112107 its reverse (701211201001), we get a palindrome (801313313108).

The spelling of 100102112107 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, one hundred seven".