20102222220300 has 576 divisors, whose sum is σ = 72815592837120. Its totient is φ = 4713375744000.

The previous prime is 20102222220239. The next prime is 20102222220337. The reversal of 20102222220300 is 302222220102.

20102222220300 is a `hidden beast` number, since 20 + 102 + 2 + 22 + 220 + 300 = 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 191 ways as a sum of consecutive naturals, for example, 1945433934 + ... + 1945444266.

Almost surely, 2^{20102222220300} is an apocalyptic number.

20102222220300 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 20102222220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36407796418560).

20102222220300 is an abundant number, since it is smaller than the sum of its proper divisors (52713370616820).

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

20102222220300 is a wasteful number, since it uses less digits than its factorization.

20102222220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12511 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20102222220300 its reverse (302222220102), we get a palindrome (20404444440402).

The spelling of 20102222220300 in words is "twenty trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, three hundred".