101221002002161 has 2 divisors, whose sum is σ = 101221002002162. Its totient is φ = 101221002002160.

The previous prime is 101221002002147. The next prime is 101221002002251. The reversal of 101221002002161 is 161200200122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100933046343936 + 287955658225 = 10046544^2 + 536615^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221002002161 - 2¹¹ = 101221002000113 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221009002161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610501001080 + 50610501001081.

It is an arithmetic number, because the mean of its divisors is an integer number (50610501001081).

Almost surely, 2^{101221002002161} is an apocalyptic number.

It is an amenable number.

101221002002161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221002002161 is an equidigital number, since it uses as much as digits as its factorization.

101221002002161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101221002002161 its reverse (161200200122101), we get a palindrome (262421202124262).

The spelling of 101221002002161 in words is "one hundred one trillion, two hundred twenty-one billion, two million, two thousand, one hundred sixty-one".