101010000001007 has 2 divisors, whose sum is σ = 101010000001008. Its totient is φ = 101010000001006.

The previous prime is 101010000000991. The next prime is 101010000001033. The reversal of 101010000001007 is 700100000010101.

It is a weak prime.

It is an emirp because it is prime and its reverse (700100000010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010000001007 - 2⁴ = 101010000000991 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000001067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000000503 + 50505000000504.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000000504).

Almost surely, 2^{101010000001007} is an apocalyptic number.

101010000001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000001007 is an equidigital number, since it uses as much as digits as its factorization.

101010000001007 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 11.

Adding to 101010000001007 its reverse (700100000010101), we get a palindrome (801110000011108).

The spelling of 101010000001007 in words is "one hundred one trillion, ten billion, one thousand, seven".