210020013100200 has 384 divisors, whose sum is σ = 686095901337600. Its totient is φ = 53040091653120.

The previous prime is 210020013100127. The next prime is 210020013100207. The reversal of 210020013100200 is 2001310020012.

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

It is not an unprimeable number, because it can be changed into a prime (210020013100207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9874455166 + ... + 9874476434.

It is an arithmetic number, because the mean of its divisors is an integer number (1786708076400).

Almost surely, 2^{210020013100200} is an apocalyptic number.

210020013100200 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 210020013100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343047950668800).

210020013100200 is an abundant number, since it is smaller than the sum of its proper divisors (476075888237400).

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

210020013100200 is a wasteful number, since it uses less digits than its factorization.

210020013100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28361 (or 28352 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210020013100200 its reverse (2001310020012), we get a palindrome (212021323120212).

The spelling of 210020013100200 in words is "two hundred ten trillion, twenty billion, thirteen million, one hundred thousand, two hundred".