2121220000221 has 64 divisors (see below), whose sum is σ = 3378491596800. Its totient is φ = 1158242400000.

The previous prime is 2121220000183. The next prime is 2121220000261. The reversal of 2121220000221 is 1220000221212.

It is not a de Polignac number, because 2121220000221 - 2²³ = 2121211611613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121220000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121220000261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24694096 + ... + 24779846.

It is an arithmetic number, because the mean of its divisors is an integer number (52788931200).

Almost surely, 2^{2121220000221} is an apocalyptic number.

2121220000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121220000221 is a deficient number, since it is larger than the sum of its proper divisors (1257271596579).

2121220000221 is a wasteful number, since it uses less digits than its factorization.

2121220000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86210.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2121220000221 its reverse (1220000221212), we get a palindrome (3341220221433).

It can be divided in two parts, 212 and 1220000221, that multiplied together give a palindrome (258640046852).

The spelling of 2121220000221 in words is "two trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one", and thus it is an aban number.