10200002221121 has 4 divisors (see below), whose sum is σ = 10200097586772. Its totient is φ = 10199906855472.

The previous prime is 10200002221099. The next prime is 10200002221133. The reversal of 10200002221121 is 12112220000201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5681720580496 + 4518281640625 = 2383636^2 + 2125625^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200002221121 - 2¹⁴ = 10200002204737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200002221096 and 10200002221105.

It is not an unprimeable number, because it can be changed into a prime (10200002721121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47522210 + ... + 47736363.

It is an arithmetic number, because the mean of its divisors is an integer number (2550024396693).

Almost surely, 2^{10200002221121} is an apocalyptic number.

It is an amenable number.

10200002221121 is a deficient number, since it is larger than the sum of its proper divisors (95365651).

10200002221121 is an equidigital number, since it uses as much as digits as its factorization.

10200002221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95365650.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10200002221121 its reverse (12112220000201), we get a palindrome (22312222221322).

The spelling of 10200002221121 in words is "ten trillion, two hundred billion, two million, two hundred twenty-one thousand, one hundred twenty-one".