1000010100007 has 2 divisors, whose sum is σ = 1000010100008. Its totient is φ = 1000010100006.

The previous prime is 1000010099987. The next prime is 1000010100059. The reversal of 1000010100007 is 7000010100001.

It is a weak prime.

It is an emirp because it is prime and its reverse (7000010100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000010100007 - 2¹⁵ = 1000010067239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000010099966 and 1000010100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000010104007) 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, 500005050003 + 500005050004.

It is an arithmetic number, because the mean of its divisors is an integer number (500005050004).

Almost surely, 2^{1000010100007} is an apocalyptic number.

1000010100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010100007 is an equidigital number, since it uses as much as digits as its factorization.

1000010100007 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 1000010100007 its reverse (7000010100001), we get a palindrome (8000020200008).

The spelling of 1000010100007 in words is "one trillion, ten million, one hundred thousand, seven".