2123211321 has 72 divisors (see below), whose sum is σ = 3872960000. Its totient is φ = 1097141760.

The previous prime is 2123211317. The next prime is 2123211329. The reversal of 2123211321 is 1231123212.

2123211321 is a `hidden beast` number, since 21 + 2 + 321 + 1 + 321 = 666.

It is not a de Polignac number, because 2123211321 - 2² = 2123211317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2123211294 and 2123211303.

It is not an unprimeable number, because it can be changed into a prime (2123211329) 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 71 ways as a sum of consecutive naturals, for example, 1699305 + ... + 1700553.

Almost surely, 2^2123211321 is an apocalyptic number.

2123211321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2123211321 is a deficient number, since it is larger than the sum of its proper divisors (1749748679).

2123211321 is a wasteful number, since it uses less digits than its factorization.

2123211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1493 counting only the distinct ones).

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

The square root of 2123211321 is about 46078.3172544311. The cubic root of 2123211321 is about 1285.2799727081.

Adding to 2123211321 its reverse (1231123212), we get a palindrome (3354334533).

It can be divided in two parts, 2123 and 211321, that added together give a square (213444 = 462²).

The spelling of 2123211321 in words is "two billion, one hundred twenty-three million, two hundred eleven thousand, three hundred twenty-one".