20321144100 has 216 divisors, whose sum is σ = 67339752480. Its totient is φ = 5111424000.

The previous prime is 20321144099. The next prime is 20321144113. The reversal of 20321144100 is 144112302.

20321144100 is a `hidden beast` number, since 203 + 21 + 1 + 441 + 0 + 0 = 666.

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

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, 4118635 + ... + 4123565.

Almost surely, 2^20321144100 is an apocalyptic number.

20321144100 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 20321144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669876240).

20321144100 is an abundant number, since it is smaller than the sum of its proper divisors (47018608380).

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

20321144100 is a wasteful number, since it uses less digits than its factorization.

20321144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20321144100 its reverse (144112302), we get a palindrome (20465256402).

The spelling of 20321144100 in words is "twenty billion, three hundred twenty-one million, one hundred forty-four thousand, one hundred".