10221002002205 has 8 divisors (see below), whose sum is σ = 12266049007800. Its totient is φ = 8176237198336.

The previous prime is 10221002002171. The next prime is 10221002002291. The reversal of 10221002002205 is 50220020012201.

10221002002205 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 403696307641 + 9817305694564 = 635371^2 + 3133258^2 .

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-10221002002205 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70470740 + ... + 70615629.

It is an arithmetic number, because the mean of its divisors is an integer number (1533256125975).

Almost surely, 2^{10221002002205} is an apocalyptic number.

It is an amenable number.

10221002002205 is a deficient number, since it is larger than the sum of its proper divisors (2045047005595).

10221002002205 is a wasteful number, since it uses less digits than its factorization.

10221002002205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141100863.

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10221002002205 its reverse (50220020012201), we get a palindrome (60441022014406).

The spelling of 10221002002205 in words is "ten trillion, two hundred twenty-one billion, two million, two thousand, two hundred five".