200022100002120 has 1024 divisors, whose sum is σ = 733765887590400. Its totient is φ = 43062741504000.

The previous prime is 200022100002119. The next prime is 200022100002173. The reversal of 200022100002120 is 21200001220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200022100002096 and 200022100002105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6530039205 + ... + 6530069835.

It is an arithmetic number, because the mean of its divisors is an integer number (716568249600).

Almost surely, 2^{200022100002120} is an apocalyptic number.

200022100002120 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 200022100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366882943795200).

200022100002120 is an abundant number, since it is smaller than the sum of its proper divisors (533743787588280).

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

200022100002120 is a wasteful number, since it uses less digits than its factorization.

200022100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30970 (or 30966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200022100002120 its reverse (21200001220002), we get a palindrome (221222101222122).

The spelling of 200022100002120 in words is "two hundred trillion, twenty-two billion, one hundred million, two thousand, one hundred twenty".