101002002200201 has 2 divisors, whose sum is σ = 101002002200202. Its totient is φ = 101002002200200.

The previous prime is 101002002200153. The next prime is 101002002200237. The reversal of 101002002200201 is 102002200200101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93253322714176 + 7748679486025 = 9656776^2 + 2783645^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002002200201 - 2⁶ = 101002002200137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101002002202201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501001100100 + 50501001100101.

It is an arithmetic number, because the mean of its divisors is an integer number (50501001100101).

Almost surely, 2^{101002002200201} is an apocalyptic number.

It is an amenable number.

101002002200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002002200201 is an equidigital number, since it uses as much as digits as its factorization.

101002002200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101002002200201 its reverse (102002200200101), we get a palindrome (203004202400302).

The spelling of 101002002200201 in words is "one hundred one trillion, two billion, two million, two hundred thousand, two hundred one".