200210201221120 has 96 divisors (see below), whose sum is σ = 501273571649760. Its totient is φ = 76602163855360.

The previous prime is 200210201221031. The next prime is 200210201221153. The reversal of 200210201221120 is 21122102012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200210201221094 and 200210201221103.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 424803121 + ... + 425274160.

It is an arithmetic number, because the mean of its divisors is an integer number (5221599704685).

Almost surely, 2^{200210201221120} is an apocalyptic number.

200210201221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210201221120 is an abundant number, since it is smaller than the sum of its proper divisors (301063370428640).

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

200210201221120 is an equidigital number, since it uses as much as digits as its factorization.

200210201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850077331 (or 850077311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200210201221120 its reverse (21122102012002), we get a palindrome (221332303233122).

The spelling of 200210201221120 in words is "two hundred trillion, two hundred ten billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".