200210222002120 has 256 divisors, whose sum is σ = 506618235072000. Its totient is φ = 70587396096000.

The previous prime is 200210222002099. The next prime is 200210222002129. The reversal of 200210222002120 is 21200222012002.

200210222002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200210222002094 and 200210222002103.

It is not an unprimeable number, because it can be changed into a prime (200210222002129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15147925752 + ... + 15147938968.

It is an arithmetic number, because the mean of its divisors is an integer number (1978977480750).

Almost surely, 2^{200210222002120} is an apocalyptic number.

200210222002120 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 200210222002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253309117536000).

200210222002120 is an abundant number, since it is smaller than the sum of its proper divisors (306408013069880).

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

200210222002120 is a wasteful number, since it uses less digits than its factorization.

200210222002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21316 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200210222002120 its reverse (21200222012002), we get a palindrome (221410444014122).

The spelling of 200210222002120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two thousand, one hundred twenty".