101100120002201 has 2 divisors, whose sum is σ = 101100120002202. Its totient is φ = 101100120002200.

The previous prime is 101100120002149. The next prime is 101100120002237. The reversal of 101100120002201 is 102200021001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67830065281801 + 33270054720400 = 8235901^2 + 5768020^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100120002201 - 2⁶ = 101100120002137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101100120002281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550060001100 + 50550060001101.

It is an arithmetic number, because the mean of its divisors is an integer number (50550060001101).

Almost surely, 2^{101100120002201} is an apocalyptic number.

It is an amenable number.

101100120002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100120002201 is an equidigital number, since it uses as much as digits as its factorization.

101100120002201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100120002201 its reverse (102200021001101), we get a palindrome (203300141003302).

The spelling of 101100120002201 in words is "one hundred one trillion, one hundred billion, one hundred twenty million, two thousand, two hundred one".