120002101202200 has 192 divisors, whose sum is σ = 319128467328000. Its totient is φ = 41109303306240.

The previous prime is 120002101202147. The next prime is 120002101202303. The reversal of 120002101202200 is 2202101200021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15153689841 + ... + 15153697759.

It is an arithmetic number, because the mean of its divisors is an integer number (1662127434000).

Almost surely, 2^{120002101202200} is an apocalyptic number.

120002101202200 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 120002101202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159564233664000).

120002101202200 is an abundant number, since it is smaller than the sum of its proper divisors (199126366125800).

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

120002101202200 is a wasteful number, since it uses less digits than its factorization.

120002101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15594 (or 15585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120002101202200 its reverse (2202101200021), we get a palindrome (122204202402221).

The spelling of 120002101202200 in words is "one hundred twenty trillion, two billion, one hundred one million, two hundred two thousand, two hundred".