100201033320121 has 2 divisors, whose sum is σ = 100201033320122. Its totient is φ = 100201033320120.

The previous prime is 100201033320119. The next prime is 100201033320131. The reversal of 100201033320121 is 121023330102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50665055607721 + 49535977712400 = 7117939^2 + 7038180^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201033320121 - 2¹ = 100201033320119 is a prime.

Together with 100201033320119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100201033320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100516660060 + 50100516660061.

It is an arithmetic number, because the mean of its divisors is an integer number (50100516660061).

Almost surely, 2^{100201033320121} is an apocalyptic number.

It is an amenable number.

100201033320121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201033320121 is an equidigital number, since it uses as much as digits as its factorization.

100201033320121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100201033320121 its reverse (121023330102001), we get a palindrome (221224363422122).

The spelling of 100201033320121 in words is "one hundred trillion, two hundred one billion, thirty-three million, three hundred twenty thousand, one hundred twenty-one".