10200200210120 has 32 divisors (see below), whose sum is σ = 23570732921400. Its totient is φ = 3969807648768.

The previous prime is 10200200210059. The next prime is 10200200210129. The reversal of 10200200210120 is 2101200200201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8995812487204 + 1204387722916 = 2999302^2 + 1097446^2 .

It is not an unprimeable number, because it can be changed into a prime (10200200210129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3446012105 + ... + 3446015064.

Almost surely, 2^{10200200210120} is an apocalyptic number.

10200200210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200200210120 is an abundant number, since it is smaller than the sum of its proper divisors (13370532711280).

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

10200200210120 is a wasteful number, since it uses less digits than its factorization.

10200200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892027217 (or 6892027213 counting only the distinct ones).

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

Adding to 10200200210120 its reverse (2101200200201), we get a palindrome (12301400410321).

The spelling of 10200200210120 in words is "ten trillion, two hundred billion, two hundred million, two hundred ten thousand, one hundred twenty".