103221011322 has 288 divisors, whose sum is σ = 278993647296. Its totient is φ = 27174067200.

The previous prime is 103221011317. The next prime is 103221011329. The reversal of 103221011322 is 223110122301.

103221011322 is a `hidden beast` number, since 1 + 0 + 322 + 10 + 11 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103221011295 and 103221011304.

It is not an unprimeable number, because it can be changed into a prime (103221011329) 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 143 ways as a sum of consecutive naturals, for example, 88753513 + ... + 88754675.

It is an arithmetic number, because the mean of its divisors is an integer number (968727942).

Almost surely, 2^103221011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139496823648).

103221011322 is an abundant number, since it is smaller than the sum of its proper divisors (175772635974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103221011322 is a wasteful number, since it uses less digits than its factorization.

103221011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1262 counting only the distinct ones).

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

Adding to 103221011322 its reverse (223110122301), we get a palindrome (326331133623).

The spelling of 103221011322 in words is "one hundred three billion, two hundred twenty-one million, eleven thousand, three hundred twenty-two".