11201122122101 has 6 divisors (see below), whose sum is σ = 11310926704470. Its totient is φ = 11092373353128.

The previous prime is 11201122122089. The next prime is 11201122122103. The reversal of 11201122122101 is 10122122110211.

It can be written as a sum of positive squares in only one way, i.e., 6425363128900 + 4775758993201 = 2534830^2 + 2185351^2 .

It is not a de Polignac number, because 11201122122101 - 2³⁰ = 11200048380277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11201122122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122122103) 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 in 5 ways as a sum of consecutive naturals, for example, 527895986 + ... + 527917203.

It is an arithmetic number, because the mean of its divisors is an integer number (1885154450745).

Almost surely, 2^{11201122122101} is an apocalyptic number.

It is an amenable number.

11201122122101 is a deficient number, since it is larger than the sum of its proper divisors (109804582369).

11201122122101 is an equidigital number, since it uses as much as digits as its factorization.

11201122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055813395 (or 1055813292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11201122122101 its reverse (10122122110211), we get a palindrome (21323244232312).

The spelling of 11201122122101 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".