221221122000020 has 12 divisors (see below), whose sum is σ = 464564356200084. Its totient is φ = 88488448800000.

The previous prime is 221221122000019. The next prime is 221221122000037. The reversal of 221221122000020 is 20000221122122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 166692526614916 + 54528595385104 = 12910946^2 + 7384348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5530528049981 + ... + 5530528050020.

It is an arithmetic number, because the mean of its divisors is an integer number (38713696350007).

Almost surely, 2^{221221122000020} is an apocalyptic number.

221221122000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221122000020 is an abundant number, since it is smaller than the sum of its proper divisors (243343234200064).

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

221221122000020 is a wasteful number, since it uses less digits than its factorization.

221221122000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061056100010 (or 11061056100008 counting only the distinct ones).

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

Adding to 221221122000020 its reverse (20000221122122), we get a palindrome (241221343122142).

The spelling of 221221122000020 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty", and thus it is an aban number.