201101010001 has 2 divisors, whose sum is σ = 201101010002. Its totient is φ = 201101010000.

The previous prime is 201101009969. The next prime is 201101010013. The reversal of 201101010001 is 100010101102.

201101010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119682094401 + 81418915600 = 345951^2 + 285340^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101010001 - 2⁵ = 201101009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (201101010031) 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, 100550505000 + 100550505001.

It is an arithmetic number, because the mean of its divisors is an integer number (100550505001).

Almost surely, 2^201101010001 is an apocalyptic number.

It is an amenable number.

201101010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101010001 is an equidigital number, since it uses as much as digits as its factorization.

201101010001 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 7.

Adding to 201101010001 its reverse (100010101102), we get a palindrome (301111111103).

The spelling of 201101010001 in words is "two hundred one billion, one hundred one million, ten thousand, one".