11210221102121 has 32 divisors (see below), whose sum is σ = 12586855680000. Its totient is φ = 9931856005120.

The previous prime is 11210221102027. The next prime is 11210221102123. The reversal of 11210221102121 is 12120112201211.

It is not a de Polignac number, because 11210221102121 - 2³⁰ = 11209147360297 is a prime.

It is a super-3 number, since 3×11210221102121³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11210221102121.

It is not an unprimeable number, because it can be changed into a prime (11210221102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30114296 + ... + 30484278.

It is an arithmetic number, because the mean of its divisors is an integer number (393339240000).

Almost surely, 2^{11210221102121} is an apocalyptic number.

It is an amenable number.

11210221102121 is a deficient number, since it is larger than the sum of its proper divisors (1376634577879).

11210221102121 is a wasteful number, since it uses less digits than its factorization.

11210221102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371569.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11210221102121 its reverse (12120112201211), we get a palindrome (23330333303332).

The spelling of 11210221102121 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty-one".