11201012011121 has 16 divisors (see below), whose sum is σ = 11484263016576. Its totient is φ = 10921495200000.

The previous prime is 11201012011043. The next prime is 11201012011157. The reversal of 11201012011121 is 12111021010211.

11201012011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11201012011121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201012011096 and 11201012011105.

It is not an unprimeable number, because it can be changed into a prime (11201012211121) 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, 5431166 + ... + 7204136.

It is an arithmetic number, because the mean of its divisors is an integer number (717766438536).

Almost surely, 2^{11201012011121} is an apocalyptic number.

It is an amenable number.

11201012011121 is a deficient number, since it is larger than the sum of its proper divisors (283251005455).

11201012011121 is a wasteful number, since it uses less digits than its factorization.

11201012011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774024.

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

Adding to 11201012011121 its reverse (12111021010211), we get a palindrome (23312033021332).

The spelling of 11201012011121 in words is "eleven trillion, two hundred one billion, twelve million, eleven thousand, one hundred twenty-one".