20120210100200 has 768 divisors, whose sum is σ = 58863432499200. Its totient is φ = 6239744409600.

The previous prime is 20120210100169. The next prime is 20120210100209. The reversal of 20120210100200 is 200101202102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20120210100209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19706375690 + ... + 19706376710.

It is an arithmetic number, because the mean of its divisors is an integer number (76645094400).

Almost surely, 2^{20120210100200} is an apocalyptic number.

20120210100200 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 20120210100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29431716249600).

20120210100200 is an abundant number, since it is smaller than the sum of its proper divisors (38743222399000).

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

20120210100200 is a wasteful number, since it uses less digits than its factorization.

20120210100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20120210100200 its reverse (200101202102), we get a palindrome (20320311302302).

The spelling of 20120210100200 in words is "twenty trillion, one hundred twenty billion, two hundred ten million, one hundred thousand, two hundred".