10200221100221 has 8 divisors (see below), whose sum is σ = 10302024974904. Its totient is φ = 10098433139200.

The previous prime is 10200221100203. The next prime is 10200221100241. The reversal of 10200221100221 is 12200112200201.

10200221100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9538918728196 + 661302372025 = 3088514^2 + 813205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200221100221 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 = 10200221100196 and 10200221100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200221100241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687996 + ... + 5256021.

It is an arithmetic number, because the mean of its divisors is an integer number (1287753121863).

Almost surely, 2^{10200221100221} is an apocalyptic number.

It is an amenable number.

10200221100221 is a deficient number, since it is larger than the sum of its proper divisors (101803874683).

10200221100221 is a wasteful number, since it uses less digits than its factorization.

10200221100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956831.

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

Adding to 10200221100221 its reverse (12200112200201), we get a palindrome (22400333300422).

The spelling of 10200221100221 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred thousand, two hundred twenty-one".