11201121011201 has 16 divisors (see below), whose sum is σ = 12523974619200. Its totient is φ = 9929801689920.

The previous prime is 11201121011191. The next prime is 11201121011207. The reversal of 11201121011201 is 10211012110211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11201121011201 is a prime.

It is a super-2 number, since 2×11201121011201² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11201121011207) 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 in 15 ways as a sum of consecutive naturals, for example, 19025726 + ... + 19605623.

It is an arithmetic number, because the mean of its divisors is an integer number (782748413700).

Almost surely, 2^{11201121011201} is an apocalyptic number.

11201121011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201121011201 is a deficient number, since it is larger than the sum of its proper divisors (1322853607999).

11201121011201 is a wasteful number, since it uses less digits than its factorization.

11201121011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38632016.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201121011201 its reverse (10211012110211), we get a palindrome (21412133121412).

The spelling of 11201121011201 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, eleven thousand, two hundred one".