20102120000200 has 384 divisors, whose sum is σ = 58806336153600. Its totient is φ = 6231017041920.

The previous prime is 20102120000189. The next prime is 20102120000213. The reversal of 20102120000200 is 200002120102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 95 ways as a sum of consecutive naturals, for example, 264871459 + ... + 264947341.

It is an arithmetic number, because the mean of its divisors is an integer number (153141500400).

Almost surely, 2^{20102120000200} is an apocalyptic number.

20102120000200 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 20102120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403168076800).

20102120000200 is an abundant number, since it is smaller than the sum of its proper divisors (38704216153400).

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

20102120000200 is a wasteful number, since it uses less digits than its factorization.

20102120000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76381 (or 76372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20102120000200 its reverse (200002120102), we get a palindrome (20302122120302).

The spelling of 20102120000200 in words is "twenty trillion, one hundred two billion, one hundred twenty million, two hundred", and thus it is an aban number.