221101000100 has 72 divisors (see below), whose sum is σ = 485558375400. Its totient is φ = 87378508800.

The previous prime is 221101000033. The next prime is 221101000163. The reversal of 221101000100 is 1000101122.

221101000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 66238287424 + 154862712676 = 257368^2 + 393526^2 .

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, 12281906 + ... + 12299894.

It is an arithmetic number, because the mean of its divisors is an integer number (6743866325).

Almost surely, 2^221101000100 is an apocalyptic number.

221101000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242779187700).

221101000100 is an abundant number, since it is smaller than the sum of its proper divisors (264457375300).

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

221101000100 is a wasteful number, since it uses less digits than its factorization.

221101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19473 (or 19466 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221101000100 its reverse (1000101122), we get a palindrome (222101101222).

The spelling of 221101000100 in words is "two hundred twenty-one billion, one hundred one million, one hundred", and thus it is an aban number.