200210201120120 has 384 divisors, whose sum is σ = 494228611800000. Its totient is φ = 72891014676480.

The previous prime is 200210201120113. The next prime is 200210201120123. The reversal of 200210201120120 is 21021102012002.

200210201120120 is digitally balanced in base 2 and base 3, because in such bases 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 = 200210201120095 and 200210201120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210201120123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5932313006 + ... + 5932346754.

Almost surely, 2^{200210201120120} is an apocalyptic number.

200210201120120 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 200210201120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247114305900000).

200210201120120 is an abundant number, since it is smaller than the sum of its proper divisors (294018410679880).

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

200210201120120 is a wasteful number, since it uses less digits than its factorization.

200210201120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33999 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200210201120120 its reverse (21021102012002), we get a palindrome (221231303132122).

The spelling of 200210201120120 in words is "two hundred trillion, two hundred ten billion, two hundred one million, one hundred twenty thousand, one hundred twenty".