200212211122110 has 288 divisors, whose sum is σ = 585994512186720. Its totient is φ = 47377874903040.

The previous prime is 200212211122109. The next prime is 200212211122117. The reversal of 200212211122110 is 11221112212002.

200212211122110 is a `hidden beast` number, since 20 + 0 + 212 + 211 + 1 + 221 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212211122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75813901 + ... + 78410279.

It is an arithmetic number, because the mean of its divisors is an integer number (2034703167315).

Almost surely, 2^{200212211122110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212211122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292997256093360).

200212211122110 is an abundant number, since it is smaller than the sum of its proper divisors (385782301064610).

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

200212211122110 is a wasteful number, since it uses less digits than its factorization.

200212211122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596584 (or 2596570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200212211122110 its reverse (11221112212002), we get a palindrome (211433323334112).

The spelling of 200212211122110 in words is "two hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred ten".