221102121213 has 48 divisors (see below), whose sum is σ = 327863291184. Its totient is φ = 143540812800.

The previous prime is 221102121187. The next prime is 221102121241. The reversal of 221102121213 is 312121201122.

It can be written as a sum of positive squares in 8 ways, for example, as 10624867929 + 210477253284 = 103077^2 + 458778^2 .

It is not a de Polignac number, because 221102121213 - 2⁵ = 221102121181 is a prime.

It is a super-2 number, since 2×221102121213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102121113) 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 47 ways as a sum of consecutive naturals, for example, 24746695 + ... + 24755627.

It is an arithmetic number, because the mean of its divisors is an integer number (6830485233).

Almost surely, 2^221102121213 is an apocalyptic number.

It is an amenable number.

221102121213 is a deficient number, since it is larger than the sum of its proper divisors (106761169971).

221102121213 is a wasteful number, since it uses less digits than its factorization.

221102121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221102121213 its reverse (312121201122), we get a palindrome (533223322335).

The spelling of 221102121213 in words is "two hundred twenty-one billion, one hundred two million, one hundred twenty-one thousand, two hundred thirteen".