1020202221321 has 12 divisors (see below), whose sum is σ = 1478333503348. Its totient is φ = 677961857664.

The previous prime is 1020202221301. The next prime is 1020202221343. The reversal of 1020202221321 is 1231222020201.

1020202221321 is a `hidden beast` number, since 102 + 0 + 20 + 2 + 221 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302901633225 + 717300588096 = 550365^2 + 846936^2 .

It is not a de Polignac number, because 1020202221321 - 2⁶ = 1020202221257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020202221294 and 1020202221303.

It is not an unprimeable number, because it can be changed into a prime (1020202221301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181076740 + ... + 181082373.

Almost surely, 2^{1020202221321} is an apocalyptic number.

It is an amenable number.

1020202221321 is a deficient number, since it is larger than the sum of its proper divisors (458131282027).

1020202221321 is a wasteful number, since it uses less digits than its factorization.

1020202221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362159432 (or 362159429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020202221321 its reverse (1231222020201), we get a palindrome (2251424241522).

The spelling of 1020202221321 in words is "one trillion, twenty billion, two hundred two million, two hundred twenty-one thousand, three hundred twenty-one".