120222101010200 has 192 divisors, whose sum is σ = 319968068352000. Its totient is φ = 41151835952640.

The previous prime is 120222101010191. The next prime is 120222101010217. The reversal of 120222101010200 is 2010101222021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5795781029 + ... + 5795801771.

It is an arithmetic number, because the mean of its divisors is an integer number (1666500356000).

Almost surely, 2^{120222101010200} is an apocalyptic number.

120222101010200 is a gapful number since it is divisible by the number (10) 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 120222101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159984034176000).

120222101010200 is an abundant number, since it is smaller than the sum of its proper divisors (199745967341800).

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

120222101010200 is a wasteful number, since it uses less digits than its factorization.

120222101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27314 (or 27305 counting only the distinct ones).

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

Adding to 120222101010200 its reverse (2010101222021), we get a palindrome (122232202232221).

The spelling of 120222101010200 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred one million, ten thousand, two hundred".