221111201100 has 72 divisors (see below), whose sum is σ = 639819673920. Its totient is φ = 58956418880.

The previous prime is 221111201093. The next prime is 221111201111. The reversal of 221111201100 is 1102111122.

221111201100 = 55381² + 55382² + ... + 55452².

221111201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3041779 + ... + 3113621.

It is an arithmetic number, because the mean of its divisors is an integer number (8886384360).

Almost surely, 2^221111201100 is an apocalyptic number.

221111201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111201100 is an abundant number, since it is smaller than the sum of its proper divisors (418708472820).

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

221111201100 is a wasteful number, since it uses less digits than its factorization.

221111201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82119 (or 82112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221111201100 its reverse (1102111122), we get a palindrome (222213312222).

The spelling of 221111201100 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred".