101201331122201 has 2 divisors, whose sum is σ = 101201331122202. Its totient is φ = 101201331122200.

The previous prime is 101201331122197. The next prime is 101201331122239. The reversal of 101201331122201 is 102221133102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88274969266576 + 12926361855625 = 9395476^2 + 3595325^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201331122201 - 2² = 101201331122197 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201331122701) 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, 50600665561100 + 50600665561101.

It is an arithmetic number, because the mean of its divisors is an integer number (50600665561101).

Almost surely, 2^{101201331122201} is an apocalyptic number.

It is an amenable number.

101201331122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201331122201 is an equidigital number, since it uses as much as digits as its factorization.

101201331122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101201331122201 its reverse (102221133102101), we get a palindrome (203422464224302).

The spelling of 101201331122201 in words is "one hundred one trillion, two hundred one billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred one".