10000101000007 has 2 divisors, whose sum is σ = 10000101000008. Its totient is φ = 10000101000006.

The previous prime is 10000100999989. The next prime is 10000101000013. The reversal of 10000101000007 is 70000010100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101000007 - 2²⁷ = 9999966782279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000100999957 and 10000101000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050500003 + 5000050500004.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050500004).

Almost surely, 2^{10000101000007} is an apocalyptic number.

10000101000007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101000007 is an equidigital number, since it uses as much as digits as its factorization.

10000101000007 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 10000101000007 its reverse (70000010100001), we get a palindrome (80000111100008).

The spelling of 10000101000007 in words is "ten trillion, one hundred one million, seven", and thus it is an aban number.