2221222000221 has 72 divisors (see below), whose sum is σ = 3835943728344. Its totient is φ = 1234058353920.

The previous prime is 2221222000177. The next prime is 2221222000223. The reversal of 2221222000221 is 1220002221222.

2221222000221 is a `hidden beast` number, since 2 + 221 + 2 + 220 + 0 + 0 + 221 = 666.

2221222000221 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 4 ways, for example, as 347375856996 + 1873846143225 = 589386^2 + 1368885^2 .

It is not a de Polignac number, because 2221222000221 - 2⁷ = 2221222000093 is a prime.

It is a super-3 number, since 3×2221222000221³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221222000194 and 2221222000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221222000223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22484491 + ... + 22583063.

It is an arithmetic number, because the mean of its divisors is an integer number (53276996227).

Almost surely, 2^{2221222000221} is an apocalyptic number.

2221222000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221222000221 is a deficient number, since it is larger than the sum of its proper divisors (1614721728123).

2221222000221 is a wasteful number, since it uses less digits than its factorization.

2221222000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100011 (or 100001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221222000221 its reverse (1220002221222), we get a palindrome (3441224221443).

The spelling of 2221222000221 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.