20330300100000 has 1152 divisors, whose sum is σ = 74114346878208. Its totient is φ = 4838400000000.

The previous prime is 20330300099971. The next prime is 20330300100157. The reversal of 20330300100000 is 100303302.

It is a happy number.

It is a super-2 number, since 2×20330300100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 60327299832 + ... + 60327300168.

It is an arithmetic number, because the mean of its divisors is an integer number (64335370554).

Almost surely, 2^{20330300100000} is an apocalyptic number.

20330300100000 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 20330300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37057173439104).

20330300100000 is an abundant number, since it is smaller than the sum of its proper divisors (53784046778208).

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

20330300100000 is a wasteful number, since it uses less digits than its factorization.

20330300100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20330300100000 its reverse (100303302), we get a palindrome (20330400403302).

The spelling of 20330300100000 in words is "twenty trillion, three hundred thirty billion, three hundred million, one hundred thousand".