102200120120 has 128 divisors (see below), whose sum is σ = 263948284800. Its totient is φ = 34887407616.

The previous prime is 102200120069. The next prime is 102200120131. The reversal of 102200120120 is 21021002201.

It is a happy number.

102200120120 is a modest number, since divided by 120120 gives 102200 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 95602946 + ... + 95604014.

It is an arithmetic number, because the mean of its divisors is an integer number (2062095975).

Almost surely, 2^102200120120 is an apocalyptic number.

102200120120 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 102200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131974142400).

102200120120 is an abundant number, since it is smaller than the sum of its proper divisors (161748164680).

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

102200120120 is a wasteful number, since it uses less digits than its factorization.

102200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200120120 its reverse (21021002201), we get a palindrome (123221122321).

The spelling of 102200120120 in words is "one hundred two billion, two hundred million, one hundred twenty thousand, one hundred twenty".