1000022000221 has 16 divisors (see below), whose sum is σ = 1039404553200. Its totient is φ = 960976171008.

The previous prime is 1000022000183. The next prime is 1000022000227. The reversal of 1000022000221 is 1220002200001.

It can be written as a sum of positive squares in 8 ways, for example, as 45520356025 + 954501644196 = 213355^2 + 976986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000022000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000022000198 and 1000022000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000022000227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5470921 + ... + 5650753.

It is an arithmetic number, because the mean of its divisors is an integer number (64962784575).

Almost surely, 2^{1000022000221} is an apocalyptic number.

It is an amenable number.

1000022000221 is a deficient number, since it is larger than the sum of its proper divisors (39382552979).

1000022000221 is a wasteful number, since it uses less digits than its factorization.

1000022000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180768.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000022000221 its reverse (1220002200001), we get a palindrome (2220024200222).

The spelling of 1000022000221 in words is "one trillion, twenty-two million, two hundred twenty-one", and thus it is an aban number.