20102113320000 has 560 divisors, whose sum is σ = 68401856299392. Its totient is φ = 5204736000000.

The previous prime is 20102113319987. The next prime is 20102113320013. The reversal of 20102113320000 is 2331120102.

It is an interprime number because it is at equal distance from previous prime (20102113319987) and next prime (20102113320013).

It is a super-3 number, since 3×20102113320000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2233315500 + ... + 2233324500.

Almost surely, 2^{20102113320000} is an apocalyptic number.

20102113320000 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 20102113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200928149696).

20102113320000 is an abundant number, since it is smaller than the sum of its proper divisors (48299742979392).

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

20102113320000 is an equidigital number, since it uses as much as digits as its factorization.

20102113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20102113320000 its reverse (2331120102), we get a palindrome (20104444440102).

The spelling of 20102113320000 in words is "twenty trillion, one hundred two billion, one hundred thirteen million, three hundred twenty thousand".