10220101200205 has 8 divisors (see below), whose sum is σ = 13207515397272. Its totient is φ = 7547151655488.

The previous prime is 10220101200157. The next prime is 10220101200223. The reversal of 10220101200205 is 50200210102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 430423908489 + 9789677291716 = 656067^2 + 3128846^2 .

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 10220101200205 - 2¹⁷ = 10220101069133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78616163014 + ... + 78616163143.

It is an arithmetic number, because the mean of its divisors is an integer number (1650939424659).

Almost surely, 2^{10220101200205} is an apocalyptic number.

It is an amenable number.

10220101200205 is a deficient number, since it is larger than the sum of its proper divisors (2987414197067).

10220101200205 is a wasteful number, since it uses less digits than its factorization.

10220101200205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157232326175.

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

Adding to 10220101200205 its reverse (50200210102201), we get a palindrome (60420311302406).

The spelling of 10220101200205 in words is "ten trillion, two hundred twenty billion, one hundred one million, two hundred thousand, two hundred five".