10000000100107 has 2 divisors, whose sum is σ = 10000000100108. Its totient is φ = 10000000100106.

The previous prime is 10000000100087. The next prime is 10000000100263. The reversal of 10000000100107 is 70100100000001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000000100107 - 2¹¹ = 10000000098059 is a prime.

It is a super-2 number, since 2×10000000100107² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000000100093 and 10000000100102.

It is not a weakly prime, because it can be changed into another prime (10000000200107) 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, 5000000050053 + 5000000050054.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000050054).

Almost surely, 2^{10000000100107} is an apocalyptic number.

10000000100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000000100107 is an equidigital number, since it uses as much as digits as its factorization.

10000000100107 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 10000000100107 its reverse (70100100000001), we get a palindrome (80100100100108).

The spelling of 10000000100107 in words is "ten trillion, one hundred thousand, one hundred seven".