100100001000001 has 2 divisors, whose sum is σ = 100100001000002. Its totient is φ = 100100001000000.

The previous prime is 100100000999927. The next prime is 100100001000089. The reversal of 100100001000001 is 100000100001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62033581299600 + 38066419700401 = 7876140^2 + 6169799^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100001000001 - 2¹⁵ = 100100000967233 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100001010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000500000 + 50050000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000500001).

Almost surely, 2^{100100001000001} is an apocalyptic number.

It is an amenable number.

100100001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100001000001 is an equidigital number, since it uses as much as digits as its factorization.

100100001000001 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 4.

Adding to 100100001000001 its reverse (100000100001001), we get a palindrome (200100101001002).

The spelling of 100100001000001 in words is "one hundred trillion, one hundred billion, one million, one", and thus it is an aban number.