1001010100201 has 2 divisors, whose sum is σ = 1001010100202. Its totient is φ = 1001010100200.

The previous prime is 1001010100159. The next prime is 1001010100247. The reversal of 1001010100201 is 1020010101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505641877225 + 495368222976 = 711085^2 + 703824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010100201 - 2¹³ = 1001010092009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505050100 + 500505050101.

It is an arithmetic number, because the mean of its divisors is an integer number (500505050101).

Almost surely, 2^{1001010100201} is an apocalyptic number.

It is an amenable number.

1001010100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010100201 is an equidigital number, since it uses as much as digits as its factorization.

1001010100201 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 1001010100201 its reverse (1020010101001), we get a palindrome (2021020201202).

The spelling of 1001010100201 in words is "one trillion, one billion, ten million, one hundred thousand, two hundred one".