100010101111007 has 2 divisors, whose sum is σ = 100010101111008. Its totient is φ = 100010101111006.

The previous prime is 100010101110977. The next prime is 100010101111027. The reversal of 100010101111007 is 700111101010001.

It is a strong prime.

It is an emirp because it is prime and its reverse (700111101010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010101111007 - 2⁶ = 100010101110943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010101110982 and 100010101111000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010101111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050555503 + 50005050555504.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050555504).

Almost surely, 2^{100010101111007} is an apocalyptic number.

100010101111007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010101111007 is an equidigital number, since it uses as much as digits as its factorization.

100010101111007 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 14.

Adding to 100010101111007 its reverse (700111101010001), we get a palindrome (800121202121008).

The spelling of 100010101111007 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven thousand, seven".