10205055321321 has 24 divisors (see below), whose sum is σ = 15829577552160. Its totient is φ = 5830970742912.

The previous prime is 10205055321313. The next prime is 10205055321401. The reversal of 10205055321321 is 12312355050201.

It is not a de Polignac number, because 10205055321321 - 2³ = 10205055321313 is a prime.

It is a super-2 number, since 2×10205055321321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10205055321421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152336 + ... + 4662401.

It is an arithmetic number, because the mean of its divisors is an integer number (659565731340).

Almost surely, 2^{10205055321321} is an apocalyptic number.

It is an amenable number.

10205055321321 is a deficient number, since it is larger than the sum of its proper divisors (5624522230839).

10205055321321 is a wasteful number, since it uses less digits than its factorization.

10205055321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826693 (or 5826686 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10205055321321 in words is "ten trillion, two hundred five billion, fifty-five million, three hundred twenty-one thousand, three hundred twenty-one".