10002012120200 has 24 divisors (see below), whose sum is σ = 23254678179930. Its totient is φ = 4000804848000.

The previous prime is 10002012120187. The next prime is 10002012120281. The reversal of 10002012120200 is 202121020001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5524107516964 + 4477904603236 = 2350342^2 + 2116106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25005030101 + ... + 25005030500.

Almost surely, 2^{10002012120200} is an apocalyptic number.

10002012120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002012120200 is an abundant number, since it is smaller than the sum of its proper divisors (13252666059730).

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

10002012120200 is a wasteful number, since it uses less digits than its factorization.

10002012120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010060617 (or 50010060608 counting only the distinct ones).

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

Adding to 10002012120200 its reverse (202121020001), we get a palindrome (10204133140201).

The spelling of 10002012120200 in words is "ten trillion, two billion, twelve million, one hundred twenty thousand, two hundred".