10120200212000 has 96 divisors (see below), whose sum is σ = 24968509950384. Its totient is φ = 4031282688000.

The previous prime is 10120200211993. The next prime is 10120200212063. The reversal of 10120200212000 is 21200202101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 499458812176 + 9620741399824 = 706724^2 + 3101732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285067 + ... + 6213066.

Almost surely, 2^{10120200212000} is an apocalyptic number.

10120200212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120200212000 is an abundant number, since it is smaller than the sum of its proper divisors (14848309738384).

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

10120200212000 is a wasteful number, since it uses less digits than its factorization.

10120200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498399 (or 10498381 counting only the distinct ones).

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

Adding to 10120200212000 its reverse (21200202101), we get a palindrome (10141400414101).

The spelling of 10120200212000 in words is "ten trillion, one hundred twenty billion, two hundred million, two hundred twelve thousand".