221001222022100 has 72 divisors (see below), whose sum is σ = 516491205910680. Its totient is φ = 81595971924480.

The previous prime is 221001222022073. The next prime is 221001222022111. The reversal of 221001222022100 is 1220222100122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 198239754295696 + 22761467726404 = 14079764^2 + 4770898^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19072106 + ... + 28385694.

Almost surely, 2^{221001222022100} is an apocalyptic number.

221001222022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001222022100 is an abundant number, since it is smaller than the sum of its proper divisors (295489983888580).

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

221001222022100 is a wasteful number, since it uses less digits than its factorization.

221001222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331869 (or 9331862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221001222022100 its reverse (1220222100122), we get a palindrome (222221444122222).

The spelling of 221001222022100 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-two million, twenty-two thousand, one hundred".