221120000100 has 54 divisors (see below), whose sum is σ = 693088358690. Its totient is φ = 58965333120.

The previous prime is 221120000071. The next prime is 221120000111. The reversal of 221120000100 is 1000021122.

It can be written as a sum of positive squares in 3 ways, for example, as 5586366564 + 215533633536 = 74742^2 + 464256^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122843545 + ... + 122845344.

Almost surely, 2^221120000100 is an apocalyptic number.

221120000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120000100 is an abundant number, since it is smaller than the sum of its proper divisors (471968358590).

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

221120000100 is a wasteful number, since it uses less digits than its factorization.

221120000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245688909 (or 245688899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221120000100 its reverse (1000021122), we get a palindrome (222120021222).

The spelling of 221120000100 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred", and thus it is an aban number.