211200002021000 has 256 divisors, whose sum is σ = 512489472768000. Its totient is φ = 81380352000000.

The previous prime is 211200002020939. The next prime is 211200002021003. The reversal of 211200002021000 is 120200002112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211200002021003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14698301816 + ... + 14698316184.

It is an arithmetic number, because the mean of its divisors is an integer number (2001912003000).

Almost surely, 2^{211200002021000} is an apocalyptic number.

211200002021000 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 211200002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256244736384000).

211200002021000 is an abundant number, since it is smaller than the sum of its proper divisors (301289470747000).

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

211200002021000 is a wasteful number, since it uses less digits than its factorization.

211200002021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16561 (or 16547 counting only the distinct ones).

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

Adding to 211200002021000 its reverse (120200002112), we get a palindrome (211320202023112).

The spelling of 211200002021000 in words is "two hundred eleven trillion, two hundred billion, two million, twenty-one thousand".