100001110101001 has 2 divisors, whose sum is σ = 100001110101002. Its totient is φ = 100001110101000.

The previous prime is 100001110100987. The next prime is 100001110101023. The reversal of 100001110101001 is 100101011100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98774279175625 + 1226830925376 = 9938525^2 + 1107624^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001110101001 - 2¹³ = 100001110092809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001110101401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000555050500 + 50000555050501.

It is an arithmetic number, because the mean of its divisors is an integer number (50000555050501).

Almost surely, 2^{100001110101001} is an apocalyptic number.

It is an amenable number.

100001110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001110101001 is an equidigital number, since it uses as much as digits as its factorization.

100001110101001 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 7.

Adding to 100001110101001 its reverse (100101011100001), we get a palindrome (200102121201002).

The spelling of 100001110101001 in words is "one hundred trillion, one billion, one hundred ten million, one hundred one thousand, one".