200210220210020 has 192 divisors, whose sum is σ = 452127046275072. Its totient is φ = 74204697600000.

The previous prime is 200210220209957. The next prime is 200210220210029. The reversal of 200210220210020 is 20012022012002.

It is a junction number, because it is equal to n+sod(n) for n = 200210220209977 and 200210220210004.

It is not an unprimeable number, because it can be changed into a prime (200210220210029) 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 63 ways as a sum of consecutive naturals, for example, 20221207070 + ... + 20221216970.

It is an arithmetic number, because the mean of its divisors is an integer number (2354828366016).

Almost surely, 2^{200210220210020} is an apocalyptic number.

200210220210020 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 200210220210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226063523137536).

200210220210020 is an abundant number, since it is smaller than the sum of its proper divisors (251916826065052).

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

200210220210020 is a wasteful number, since it uses less digits than its factorization.

200210220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200210220210020 its reverse (20012022012002), we get a palindrome (220222242222022).

The spelling of 200210220210020 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, two hundred ten thousand, twenty".