101221110122201 has 2 divisors, whose sum is σ = 101221110122202. Its totient is φ = 101221110122200.

The previous prime is 101221110122117. The next prime is 101221110122261. The reversal of 101221110122201 is 102221011122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100346699982400 + 874410139801 = 10017320^2 + 935099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221110122201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101221110122201.

It is not a weakly prime, because it can be changed into another prime (101221110122261) 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, 50610555061100 + 50610555061101.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555061101).

Almost surely, 2^{101221110122201} is an apocalyptic number.

It is an amenable number.

101221110122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221110122201 is an equidigital number, since it uses as much as digits as its factorization.

101221110122201 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 101221110122201 its reverse (102221011122101), we get a palindrome (203442121244302).

The spelling of 101221110122201 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, two hundred one".