10000100107 has 2 divisors, whose sum is σ = 10000100108. Its totient is φ = 10000100106.

The previous prime is 10000100059. The next prime is 10000100119. The reversal of 10000100107 is 70100100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10000100107 - 2⁷ = 10000099979 is a prime.

It is a super-2 number, since 2×10000100107² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000100093 and 10000100102.

It is not a weakly prime, because it can be changed into another prime (10000100207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050053 + 5000050054.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050054).

Almost surely, 2^10000100107 is an apocalyptic number.

10000100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100107 is an equidigital number, since it uses as much as digits as its factorization.

10000100107 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 10000100107 its reverse (70100100001), we get a palindrome (80100200108).

The spelling of 10000100107 in words is "ten billion, one hundred thousand, one hundred seven".