1322311220100 has 216 divisors, whose sum is σ = 4464419927240. Its totient is φ = 325427466240.

The previous prime is 1322311220081. The next prime is 1322311220107. The reversal of 1322311220100 is 10221132231.

1322311220100 is a `hidden beast` number, since 1 + 32 + 2 + 311 + 220 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 86051875716 + 1236259344384 = 293346^2 + 1111872^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1322311220107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89719932 + ... + 89734668.

Almost surely, 2^{1322311220100} is an apocalyptic number.

1322311220100 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 1322311220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232209963620).

1322311220100 is an abundant number, since it is smaller than the sum of its proper divisors (3142108707140).

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

1322311220100 is a wasteful number, since it uses less digits than its factorization.

1322311220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22439 (or 22429 counting only the distinct ones).

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

Adding to 1322311220100 its reverse (10221132231), we get a palindrome (1332532352331).

The spelling of 1322311220100 in words is "one trillion, three hundred twenty-two billion, three hundred eleven million, two hundred twenty thousand, one hundred".