100201020105001 has 2 divisors, whose sum is σ = 100201020105002. Its totient is φ = 100201020105000.

The previous prime is 100201020104989. The next prime is 100201020105007. The reversal of 100201020105001 is 100501020102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62126554561600 + 38074465543401 = 7882040^2 + 6170451^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201020105001 - 2⁷ = 100201020104873 is a prime.

It is a super-2 number, since 2×100201020105001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100201020105007) 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, 50100510052500 + 50100510052501.

It is an arithmetic number, because the mean of its divisors is an integer number (50100510052501).

Almost surely, 2^{100201020105001} is an apocalyptic number.

It is an amenable number.

100201020105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201020105001 is an equidigital number, since it uses as much as digits as its factorization.

100201020105001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 100201020105001 its reverse (100501020102001), we get a palindrome (200702040207002).

The spelling of 100201020105001 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred five thousand, one".