100001002111001 has 2 divisors, whose sum is σ = 100001002111002. Its totient is φ = 100001002111000.

The previous prime is 100001002110917. The next prime is 100001002111019. The reversal of 100001002111001 is 100111200100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95338429939600 + 4662572171401 = 9764140^2 + 2159299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001002111001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001002111001.

It is not a weakly prime, because it can be changed into another prime (100001002111061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000501055500 + 50000501055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50000501055501).

Almost surely, 2^{100001002111001} is an apocalyptic number.

It is an amenable number.

100001002111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001002111001 is an equidigital number, since it uses as much as digits as its factorization.

100001002111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001002111001 its reverse (100111200100001), we get a palindrome (200112202211002).

The spelling of 100001002111001 in words is "one hundred trillion, one billion, two million, one hundred eleven thousand, one".