210211200010000 has 300 divisors, whose sum is σ = 597896835752700. Its totient is φ = 71358806400000.

The previous prime is 210211200009991. The next prime is 210211200010051. The reversal of 210211200010000 is 10002112012.

It can be written as a sum of positive squares in 10 ways, for example, as 79257782403856 + 130953417606144 = 8902684^2 + 11443488^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47366226 + ... + 51613774.

It is an arithmetic number, because the mean of its divisors is an integer number (1992989452509).

Almost surely, 2^{210211200010000} is an apocalyptic number.

210211200010000 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 210211200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298948417876350).

210211200010000 is an abundant number, since it is smaller than the sum of its proper divisors (387685635742700).

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

210211200010000 is a wasteful number, since it uses less digits than its factorization.

210211200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247692 (or 4247664 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210211200010000 its reverse (10002112012), we get a palindrome (210221202122012).

The spelling of 210211200010000 in words is "two hundred ten trillion, two hundred eleven billion, two hundred million, ten thousand".