110000100010001 has 2 divisors, whose sum is σ = 110000100010002. Its totient is φ = 110000100010000.

The previous prime is 110000100009949. The next prime is 110000100010007. The reversal of 110000100010001 is 100010001000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89575340580625 + 20424759429376 = 9464425^2 + 4519376^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000100010001 - 2⁶ = 110000100009937 is a prime.

110000100010001 is a modest number, since divided by 100010001 gives 110 as remainder.

It is not a weakly prime, because it can be changed into another prime (110000100010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000050005000 + 55000050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050005001).

Almost surely, 2^{110000100010001} is an apocalyptic number.

It is an amenable number.

110000100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000100010001 is an equidigital number, since it uses as much as digits as its factorization.

110000100010001 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 110000100010001 its reverse (100010001000011), we get a palindrome (210010101010012).

The spelling of 110000100010001 in words is "one hundred ten trillion, one hundred million, ten thousand, one".