1320222300100 has 216 divisors, whose sum is σ = 3449227750920. Its totient is φ = 436258099200.

The previous prime is 1320222300043. The next prime is 1320222300149. The reversal of 1320222300100 is 10032220231.

It can be written as a sum of positive squares in 12 ways, for example, as 339991615744 + 980230684356 = 583088^2 + 990066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5854642 + ... + 6075958.

It is an arithmetic number, because the mean of its divisors is an integer number (15968646995).

Almost surely, 2^{1320222300100} is an apocalyptic number.

1320222300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320222300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724613875460).

1320222300100 is an abundant number, since it is smaller than the sum of its proper divisors (2129005450820).

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

1320222300100 is a wasteful number, since it uses less digits than its factorization.

1320222300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221399 (or 221381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1320222300100 its reverse (10032220231), we get a palindrome (1330254520331).

The spelling of 1320222300100 in words is "one trillion, three hundred twenty billion, two hundred twenty-two million, three hundred thousand, one hundred".