221120210100100 has 72 divisors (see below), whose sum is σ = 491551717192200. Its totient is φ = 86287711718400.

The previous prime is 221120210100091. The next prime is 221120210100143. The reversal of 221120210100100 is 1001012021122.

It can be written as a sum of positive squares in 12 ways, for example, as 150712403144004 + 70407806956096 = 12276498^2 + 8390936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114783646 + ... + 116694154.

It is an arithmetic number, because the mean of its divisors is an integer number (6827107183225).

Almost surely, 2^{221120210100100} is an apocalyptic number.

221120210100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120210100100 is an abundant number, since it is smaller than the sum of its proper divisors (270431507092100).

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

221120210100100 is a wasteful number, since it uses less digits than its factorization.

221120210100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938793 (or 1938786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221120210100100 its reverse (1001012021122), we get a palindrome (222121222121222).

The spelling of 221120210100100 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred ten million, one hundred thousand, one hundred".