101102120002201 has 2 divisors, whose sum is σ = 101102120002202. Its totient is φ = 101102120002200.

The previous prime is 101102120002189. The next prime is 101102120002237. The reversal of 101102120002201 is 102200021201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61091434842201 + 40010685160000 = 7816101^2 + 6325400^2 .

It is an emirp because it is prime and its reverse (102200021201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101102120002201 - 2⁹ = 101102120001689 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102120000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551060001100 + 50551060001101.

It is an arithmetic number, because the mean of its divisors is an integer number (50551060001101).

Almost surely, 2^{101102120002201} is an apocalyptic number.

It is an amenable number.

101102120002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102120002201 is an equidigital number, since it uses as much as digits as its factorization.

101102120002201 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 13.

Adding to 101102120002201 its reverse (102200021201101), we get a palindrome (203302141203302).

The spelling of 101102120002201 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, two thousand, two hundred one".