322133120100 has 432 divisors, whose sum is σ = 1146769268736. Its totient is φ = 77787216000.

The previous prime is 322133120083. The next prime is 322133120119. The reversal of 322133120100 is 1021331223.

322133120100 is a `hidden beast` number, since 322 + 1 + 331 + 2 + 0 + 10 + 0 = 666.

It is a super-2 number, since 2×322133120100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72436077 + ... + 72440523.

Almost surely, 2^322133120100 is an apocalyptic number.

322133120100 is a gapful number since it is divisible by the number (30) 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 322133120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573384634368).

322133120100 is an abundant number, since it is smaller than the sum of its proper divisors (824636148636).

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

322133120100 is a wasteful number, since it uses less digits than its factorization.

322133120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 322133120100 its reverse (1021331223), we get a palindrome (323154451323).

The spelling of 322133120100 in words is "three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred".