100001000010007 has 2 divisors, whose sum is σ = 100001000010008. Its totient is φ = 100001000010006.

The previous prime is 100001000009993. The next prime is 100001000010073. The reversal of 100001000010007 is 700010000100001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001000010007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001000009975 and 100001000010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001000010077) 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, 50000500005003 + 50000500005004.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500005004).

Almost surely, 2^{100001000010007} is an apocalyptic number.

100001000010007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001000010007 is an equidigital number, since it uses as much as digits as its factorization.

100001000010007 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 100001000010007 its reverse (700010000100001), we get a palindrome (800011000110008).

The spelling of 100001000010007 in words is "one hundred trillion, one billion, ten thousand, seven".