211200212101000 has 32 divisors (see below), whose sum is σ = 494208496318680. Its totient is φ = 84480084840000.

The previous prime is 211200212100887. The next prime is 211200212101001. The reversal of 211200212101000 is 101212002112.

It can be written as a sum of positive squares in 4 ways, for example, as 27499976497764 + 183700235603236 = 5244042^2 + 13553606^2 .

It is not an unprimeable number, because it can be changed into a prime (211200212101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105600105051 + ... + 105600107050.

Almost surely, 2^{211200212101000} is an apocalyptic number.

211200212101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200212101000 is an abundant number, since it is smaller than the sum of its proper divisors (283008284217680).

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

211200212101000 is a wasteful number, since it uses less digits than its factorization.

211200212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211200212122 (or 211200212108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211200212101000 its reverse (101212002112), we get a palindrome (211301424103112).

The spelling of 211200212101000 in words is "two hundred eleven trillion, two hundred billion, two hundred twelve million, one hundred one thousand".