101221002002205 has 48 divisors (see below), whose sum is σ = 185788260790704. Its totient is φ = 50804063815680.

The previous prime is 101221002002161. The next prime is 101221002002251. The reversal of 101221002002205 is 502200200122101.

It can be written as a sum of positive squares in 8 ways, for example, as 20198662884 + 101200803339321 = 142122^2 + 10059861^2 .

It is not a de Polignac number, because 101221002002205 - 2¹⁰ = 101221002001181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535395 + ... + 14310815.

It is an arithmetic number, because the mean of its divisors is an integer number (3870588766473).

Almost surely, 2^{101221002002205} is an apocalyptic number.

101221002002205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101221002002205 is a deficient number, since it is larger than the sum of its proper divisors (84567258788499).

101221002002205 is a wasteful number, since it uses less digits than its factorization.

101221002002205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785806 (or 12785803 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101221002002205 its reverse (502200200122101), we get a palindrome (603421202124306).

The spelling of 101221002002205 in words is "one hundred one trillion, two hundred twenty-one billion, two million, two thousand, two hundred five".