221111120110100 has 72 divisors (see below), whose sum is σ = 523432843966368. Its totient is φ = 80403656636800.

The previous prime is 221111120110019. The next prime is 221111120110121. The reversal of 221111120110100 is 1011021111122.

It is a super-3 number, since 3×221111120110100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 331863899 + ... + 332529501.

It is an arithmetic number, because the mean of its divisors is an integer number (7269900610644).

Almost surely, 2^{221111120110100} is an apocalyptic number.

221111120110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111120110100 is an abundant number, since it is smaller than the sum of its proper divisors (302321723856268).

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

221111120110100 is a wasteful number, since it uses less digits than its factorization.

221111120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967625 (or 967618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 221111120110100 its reverse (1011021111122), we get a palindrome (222122141221222).

The spelling of 221111120110100 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty million, one hundred ten thousand, one hundred".