11202111122101 has 2 divisors, whose sum is σ = 11202111122102. Its totient is φ = 11202111122100.

The previous prime is 11202111122089. The next prime is 11202111122117. The reversal of 11202111122101 is 10122111120211.

It is an a-pointer prime, because the next prime (11202111122117) can be obtained adding 11202111122101 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10394627364900 + 807483757201 = 3224070^2 + 898601^2 .

It is a cyclic number.

It is not a de Polignac number, because 11202111122101 - 2¹⁵ = 11202111089333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11202115122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5601055561050 + 5601055561051.

It is an arithmetic number, because the mean of its divisors is an integer number (5601055561051).

Almost surely, 2^{11202111122101} is an apocalyptic number.

It is an amenable number.

11202111122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11202111122101 is an equidigital number, since it uses as much as digits as its factorization.

11202111122101 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 16.

Adding to 11202111122101 its reverse (10122111120211), we get a palindrome (21324222242312).

The spelling of 11202111122101 in words is "eleven trillion, two hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".