201101101200101 has 2 divisors, whose sum is σ = 201101101200102. Its totient is φ = 201101101200100.

The previous prime is 201101101200029. The next prime is 201101101200193. The reversal of 201101101200101 is 101002101101102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199384961899876 + 1716139300225 = 14120374^2 + 1310015^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101101200101 - 2¹⁰ = 201101101199077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101101200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550550600050 + 100550550600051.

It is an arithmetic number, because the mean of its divisors is an integer number (100550550600051).

Almost surely, 2^{201101101200101} is an apocalyptic number.

It is an amenable number.

201101101200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101101200101 is an equidigital number, since it uses as much as digits as its factorization.

201101101200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201101101200101 its reverse (101002101101102), we get a palindrome (302103202301203).

The spelling of 201101101200101 in words is "two hundred one trillion, one hundred one billion, one hundred one million, two hundred thousand, one hundred one".