10122213321 has 96 divisors (see below), whose sum is σ = 17677865088. Its totient is φ = 5509969920.

The previous prime is 10122213301. The next prime is 10122213329. The reversal of 10122213321 is 12331222101.

10122213321 is a `hidden beast` number, since 10 + 122 + 213 + 321 = 666.

It is not a de Polignac number, because 10122213321 - 2¹⁵ = 10122180553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122213294 and 10122213303.

It is not an unprimeable number, because it can be changed into a prime (10122213329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3298830 + ... + 3301896.

It is an arithmetic number, because the mean of its divisors is an integer number (184144428).

Almost surely, 2^10122213321 is an apocalyptic number.

10122213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122213321 is a deficient number, since it is larger than the sum of its proper divisors (7555651767).

10122213321 is a wasteful number, since it uses less digits than its factorization.

10122213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3188 counting only the distinct ones).

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

Adding to 10122213321 its reverse (12331222101), we get a palindrome (22453435422).

The spelling of 10122213321 in words is "ten billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred twenty-one".