100011000001001 has 2 divisors, whose sum is σ = 100011000001002. Its totient is φ = 100011000001000.

The previous prime is 100011000000997. The next prime is 100011000001117. The reversal of 100011000001001 is 100100000110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59586836001001 + 40424164000000 = 7719251^2 + 6358000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011000001001 - 2² = 100011000000997 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011000007001) 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, 50005500000500 + 50005500000501.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500000501).

Almost surely, 2^{100011000001001} is an apocalyptic number.

It is an amenable number.

100011000001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000001001 is an equidigital number, since it uses as much as digits as its factorization.

100011000001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100011000001001 its reverse (100100000110001), we get a palindrome (200111000111002).

The spelling of 100011000001001 in words is "one hundred trillion, eleven billion, one thousand, one".