100010000107 has 2 divisors, whose sum is σ = 100010000108. Its totient is φ = 100010000106.

The previous prime is 100010000099. The next prime is 100010000141. The reversal of 100010000107 is 701000010001.

It is a weak prime.

It is an emirp because it is prime and its reverse (701000010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010000107 - 2³ = 100010000099 is a prime.

It is a super-2 number, since 2×100010000107² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010000093 and 100010000102.

It is not a weakly prime, because it can be changed into another prime (100010000707) 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, 50005000053 + 50005000054.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000054).

Almost surely, 2^100010000107 is an apocalyptic number.

100010000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000107 is an equidigital number, since it uses as much as digits as its factorization.

100010000107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 100010000107 its reverse (701000010001), we get a palindrome (801010010108).

The spelling of 100010000107 in words is "one hundred billion, ten million, one hundred seven", and thus it is an aban number.