101000020201 has 2 divisors, whose sum is σ = 101000020202. Its totient is φ = 101000020200.

The previous prime is 101000020183. The next prime is 101000020229. The reversal of 101000020201 is 102020000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60959610000 + 40040410201 = 246900^2 + 200101^2 .

It is an emirp because it is prime and its reverse (102020000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000020201 - 2¹¹ = 101000018153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000020291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500010100 + 50500010101.

It is an arithmetic number, because the mean of its divisors is an integer number (50500010101).

Almost surely, 2^101000020201 is an apocalyptic number.

It is an amenable number.

101000020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000020201 is an equidigital number, since it uses as much as digits as its factorization.

101000020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101000020201 its reverse (102020000101), we get a palindrome (203020020302).

The spelling of 101000020201 in words is "one hundred one billion, twenty thousand, two hundred one".