11220121201113 has 384 divisors, whose sum is σ = 19434127564800. Its totient is φ = 6175425484800.

The previous prime is 11220121201099. The next prime is 11220121201153. The reversal of 11220121201113 is 31110212102211.

It is a happy number.

11220121201113 is a `hidden beast` number, since 11 + 220 + 121 + 201 + 113 = 666.

11220121201113 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 11220121201113 - 2¹² = 11220121197017 is a prime.

It is a super-2 number, since 2×11220121201113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220121201153) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62682241258 + ... + 62682241436.

It is an arithmetic number, because the mean of its divisors is an integer number (50609707200).

Almost surely, 2^{11220121201113} is an apocalyptic number.

It is an amenable number.

11220121201113 is a deficient number, since it is larger than the sum of its proper divisors (8214006363687).

11220121201113 is a wasteful number, since it uses less digits than its factorization.

11220121201113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11220121201113 its reverse (31110212102211), we get a palindrome (42330333303324).

The spelling of 11220121201113 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, two hundred one thousand, one hundred thirteen".