11201121100001 has 16 divisors (see below), whose sum is σ = 12804667456896. Its totient is φ = 9598421728896.

The previous prime is 11201121099989. The next prime is 11201121100003. The reversal of 11201121100001 is 10000112110211.

11201121100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11201121100001 - 2³⁰ = 11200047358177 is a prime.

It is a super-2 number, since 2×11201121100001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201121100003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667241330 + ... + 667258116.

It is an arithmetic number, because the mean of its divisors is an integer number (800291716056).

Almost surely, 2^{11201121100001} is an apocalyptic number.

It is an amenable number.

11201121100001 is a deficient number, since it is larger than the sum of its proper divisors (1603546356895).

11201121100001 is a wasteful number, since it uses less digits than its factorization.

11201121100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36328.

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

Adding to 11201121100001 its reverse (10000112110211), we get a palindrome (21201233210212).

The spelling of 11201121100001 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, one".