221100112220020 has 72 divisors (see below), whose sum is σ = 534582321382368. Its totient is φ = 76168459684800.

The previous prime is 221100112220011. The next prime is 221100112220083. The reversal of 221100112220020 is 20022211001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221100112219976 and 221100112220003.

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, 1391888046 + ... + 1392046885.

It is an arithmetic number, because the mean of its divisors is an integer number (7424754463644).

Almost surely, 2^{221100112220020} is an apocalyptic number.

221100112220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100112220020 is an abundant number, since it is smaller than the sum of its proper divisors (313482209162348).

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

221100112220020 is a wasteful number, since it uses less digits than its factorization.

221100112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783934989 (or 2783934968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221100112220020 its reverse (20022211001122), we get a palindrome (241122323221142).

The spelling of 221100112220020 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twelve million, two hundred twenty thousand, twenty".