221320213211100 has 72 divisors (see below), whose sum is σ = 668194591559040. Its totient is φ = 56452692063680.

The previous prime is 221320213211099. The next prime is 221320213211107. The reversal of 221320213211100 is 1112312023122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221320213211107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16037689710 + ... + 16037703509.

It is an arithmetic number, because the mean of its divisors is an integer number (9280480438320).

Almost surely, 2^{221320213211100} is an apocalyptic number.

221320213211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221320213211100 is an abundant number, since it is smaller than the sum of its proper divisors (446874378347940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221320213211100 is a wasteful number, since it uses less digits than its factorization.

221320213211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32075393259 (or 32075393252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221320213211100 its reverse (1112312023122), we get a palindrome (222432525234222).

The spelling of 221320213211100 in words is "two hundred twenty-one trillion, three hundred twenty billion, two hundred thirteen million, two hundred eleven thousand, one hundred".