10200112000221 has 48 divisors (see below), whose sum is σ = 16066386865152. Its totient is φ = 5706072590400.

The previous prime is 10200112000193. The next prime is 10200112000237. The reversal of 10200112000221 is 12200021100201.

It is not a de Polignac number, because 10200112000221 - 2⁹ = 10200111999709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200112000197 and 10200112000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200112000271) 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 47 ways as a sum of consecutive naturals, for example, 167340876 + ... + 167401818.

It is an arithmetic number, because the mean of its divisors is an integer number (334716393024).

Almost surely, 2^{10200112000221} is an apocalyptic number.

10200112000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200112000221 is a deficient number, since it is larger than the sum of its proper divisors (5866274864931).

10200112000221 is a wasteful number, since it uses less digits than its factorization.

10200112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90994 (or 90981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200112000221 its reverse (12200021100201), we get a palindrome (22400133100422).

The spelling of 10200112000221 in words is "ten trillion, two hundred billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.