10200221100205 has 8 divisors (see below), whose sum is σ = 12377796391800. Its totient is φ = 8068489499136.

The previous prime is 10200221100203. The next prime is 10200221100241. The reversal of 10200221100205 is 50200112200201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2333873400804 + 7866347699401 = 1527702^2 + 2804701^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10200221100205 - 2¹ = 10200221100203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200221100203) 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, 11460922140 + ... + 11460923029.

It is an arithmetic number, because the mean of its divisors is an integer number (1547224548975).

Almost surely, 2^{10200221100205} is an apocalyptic number.

It is an amenable number.

10200221100205 is a deficient number, since it is larger than the sum of its proper divisors (2177575291595).

10200221100205 is an equidigital number, since it uses as much as digits as its factorization.

10200221100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921845263.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10200221100205 its reverse (50200112200201), we get a palindrome (60400333300406).

The spelling of 10200221100205 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred thousand, two hundred five".