10012100221205 has 8 divisors (see below), whose sum is σ = 12023615292504. Its totient is φ = 8003616825600.

The previous prime is 10012100221181. The next prime is 10012100221213. The reversal of 10012100221205 is 50212200121001.

It can be written as a sum of positive squares in 4 ways, for example, as 2017553204836 + 7994547016369 = 1420406^2 + 2827463^2 .

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

It is not a de Polignac number, because 10012100221205 - 2¹⁰ = 10012100220181 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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757911656 + ... + 757924865.

It is an arithmetic number, because the mean of its divisors is an integer number (1502951911563).

Almost surely, 2^{10012100221205} is an apocalyptic number.

It is an amenable number.

10012100221205 is a deficient number, since it is larger than the sum of its proper divisors (2011515071299).

10012100221205 is a wasteful number, since it uses less digits than its factorization.

10012100221205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515837847.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10012100221205 its reverse (50212200121001), we get a palindrome (60224300342206).

The spelling of 10012100221205 in words is "ten trillion, twelve billion, one hundred million, two hundred twenty-one thousand, two hundred five".