200210222221020 has 288 divisors, whose sum is σ = 666115446709440. Its totient is φ = 48272408064000.

The previous prime is 200210222220973. The next prime is 200210222221027. The reversal of 200210222221020 is 20122222012002.

200210222221020 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 2 + 222 + 210 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200210222220984 and 200210222221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210222221027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426433600 + ... + 426902840.

It is an arithmetic number, because the mean of its divisors is an integer number (2312900856630).

Almost surely, 2^{200210222221020} is an apocalyptic number.

200210222221020 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 200210222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333057723354720).

200210222221020 is an abundant number, since it is smaller than the sum of its proper divisors (465905224488420).

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

200210222221020 is a wasteful number, since it uses less digits than its factorization.

200210222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470437 (or 470432 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200210222221020 its reverse (20122222012002), we get a palindrome (220332444233022).

The spelling of 200210222221020 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".