100111010001007 has 2 divisors, whose sum is σ = 100111010001008. Its totient is φ = 100111010001006.

The previous prime is 100111010000941. The next prime is 100111010001047. The reversal of 100111010001007 is 700100010111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111010001007 - 2⁷ = 100111010000879 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010001047) 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, 50055505000503 + 50055505000504.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505000504).

Almost surely, 2^{100111010001007} is an apocalyptic number.

100111010001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010001007 is an equidigital number, since it uses as much as digits as its factorization.

100111010001007 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 13.

Adding to 100111010001007 its reverse (700100010111001), we get a palindrome (800211020112008).

The spelling of 100111010001007 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand, seven".