101201121212201 has 2 divisors, whose sum is σ = 101201121212202. Its totient is φ = 101201121212200.

The previous prime is 101201121212197. The next prime is 101201121212203. The reversal of 101201121212201 is 102212121102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94904635093801 + 6296486118400 = 9741901^2 + 2509280^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201121212201 - 2² = 101201121212197 is a prime.

Together with 101201121212203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101201121212201.

It is not a weakly prime, because it can be changed into another prime (101201121212203) 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, 50600560606100 + 50600560606101.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560606101).

Almost surely, 2^{101201121212201} is an apocalyptic number.

It is an amenable number.

101201121212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201121212201 is an equidigital number, since it uses as much as digits as its factorization.

101201121212201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101201121212201 its reverse (102212121102101), we get a palindrome (203413242314302).

The spelling of 101201121212201 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred one".