11211022120221 has 24 divisors (see below), whose sum is σ = 20189546330304. Its totient is φ = 5823907594560.

The previous prime is 11211022120201. The next prime is 11211022120261. The reversal of 11211022120221 is 12202122011211.

11211022120221 is a `hidden beast` number, since 11 + 211 + 0 + 221 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 11211022120221 - 2¹⁰ = 11211022119197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211022120194 and 11211022120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211022120201) 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 23 ways as a sum of consecutive naturals, for example, 8088759856 + ... + 8088761241.

It is an arithmetic number, because the mean of its divisors is an integer number (841231097096).

Almost surely, 2^{11211022120221} is an apocalyptic number.

11211022120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211022120221 is a deficient number, since it is larger than the sum of its proper divisors (8978524210083).

11211022120221 is a wasteful number, since it uses less digits than its factorization.

11211022120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177521121 (or 16177521118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211022120221 its reverse (12202122011211), we get a palindrome (23413144131432).

The spelling of 11211022120221 in words is "eleven trillion, two hundred eleven billion, twenty-two million, one hundred twenty thousand, two hundred twenty-one".