20331321102100 has 144 divisors (see below), whose sum is σ = 46235425743360. Its totient is φ = 7745478681600.

The previous prime is 20331321102089. The next prime is 20331321102101. The reversal of 20331321102100 is 120112313302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331321102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115074584 + ... + 1115092816.

It is an arithmetic number, because the mean of its divisors is an integer number (321079345440).

Almost surely, 2^{20331321102100} is an apocalyptic number.

20331321102100 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 20331321102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117712871680).

20331321102100 is an abundant number, since it is smaller than the sum of its proper divisors (25904104641260).

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

20331321102100 is a wasteful number, since it uses less digits than its factorization.

20331321102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20331321102100 its reverse (120112313302), we get a palindrome (20451433415402).

The spelling of 20331321102100 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred two thousand, one hundred".