20322011321100 has 216 divisors, whose sum is σ = 63861532600320. Its totient is φ = 5405319600000.

The previous prime is 20322011321011. The next prime is 20322011321107. The reversal of 20322011321100 is 112311022302.

20322011321100 is a `hidden beast` number, since 2 + 0 + 322 + 0 + 11 + 321 + 10 + 0 = 666.

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 (20322011321107) 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 71 ways as a sum of consecutive naturals, for example, 1013506075 + ... + 1013526125.

It is an arithmetic number, because the mean of its divisors is an integer number (295655243520).

Almost surely, 2^{20322011321100} is an apocalyptic number.

20322011321100 is a gapful number since it is divisible by the number (20) 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 20322011321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31930766300160).

20322011321100 is an abundant number, since it is smaller than the sum of its proper divisors (43539521279220).

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

20322011321100 is a wasteful number, since it uses less digits than its factorization.

20322011321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22901 (or 22891 counting only the distinct ones).

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

Adding to 20322011321100 its reverse (112311022302), we get a palindrome (20434322343402).

The spelling of 20322011321100 in words is "twenty trillion, three hundred twenty-two billion, eleven million, three hundred twenty-one thousand, one hundred".