221101100211100 has 72 divisors (see below), whose sum is σ = 483741962782848. Its totient is φ = 87712664894400.

The previous prime is 221101100211091. The next prime is 221101100211113. The reversal of 221101100211100 is 1112001101122.

It is a happy number.

It is a super-3 number, since 3×221101100211100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 16775329 + ... + 26900071.

It is an arithmetic number, because the mean of its divisors is an integer number (6718638371984).

Almost surely, 2^{221101100211100} is an apocalyptic number.

221101100211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101100211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241870981391424).

221101100211100 is an abundant number, since it is smaller than the sum of its proper divisors (262640862571748).

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

221101100211100 is a wasteful number, since it uses less digits than its factorization.

221101100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126555 (or 10126548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221101100211100 its reverse (1112001101122), we get a palindrome (222213101312222).

The spelling of 221101100211100 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred million, two hundred eleven thousand, one hundred".