11201101202101 has 2 divisors, whose sum is σ = 11201101202102. Its totient is φ = 11201101202100.

The previous prime is 11201101202089. The next prime is 11201101202111. The reversal of 11201101202101 is 10120210110211.

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., 8058018982225 + 3143082219876 = 2838665^2 + 1772874^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201101202101 - 2³⁵ = 11166741463733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11201101202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600550601050 + 5600550601051.

It is an arithmetic number, because the mean of its divisors is an integer number (5600550601051).

Almost surely, 2^{11201101202101} is an apocalyptic number.

It is an amenable number.

11201101202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201101202101 is an equidigital number, since it uses as much as digits as its factorization.

11201101202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201101202101 its reverse (10120210110211), we get a palindrome (21321311312312).

The spelling of 11201101202101 in words is "eleven trillion, two hundred one billion, one hundred one million, two hundred two thousand, one hundred one".