1221020130321 has 18 divisors (see below), whose sum is σ = 1781331106230. Its totient is φ = 805953820800.

The previous prime is 1221020130301. The next prime is 1221020130329. The reversal of 1221020130321 is 1230310201221.

1221020130321 is a `hidden beast` number, since 1 + 2 + 210 + 2 + 0 + 130 + 321 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 388208748096 + 832811382225 = 623064^2 + 912585^2 .

It is not a de Polignac number, because 1221020130321 - 2⁷ = 1221020130193 is a prime.

It is a super-2 number, since 2×1221020130321² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1221020130294 and 1221020130303.

It is not an unprimeable number, because it can be changed into a prime (1221020130329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6557976 + ... + 6741593.

It is an arithmetic number, because the mean of its divisors is an integer number (98962839235).

Almost surely, 2^{1221020130321} is an apocalyptic number.

It is an amenable number.

1221020130321 is a deficient number, since it is larger than the sum of its proper divisors (560310975909).

1221020130321 is a wasteful number, since it uses less digits than its factorization.

1221020130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13299777 (or 13299673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221020130321 its reverse (1230310201221), we get a palindrome (2451330331542).

The spelling of 1221020130321 in words is "one trillion, two hundred twenty-one billion, twenty million, one hundred thirty thousand, three hundred twenty-one".