2012120102221 has 8 divisors (see below), whose sum is σ = 2131800955704. Its totient is φ = 1892586009600.

The previous prime is 2012120102203. The next prime is 2012120102231. The reversal of 2012120102221 is 1222010212102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 257525800900 + 1754594301321 = 507470^2 + 1324611^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-2012120102221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012120102195 and 2012120102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012120102231) by changing a digit.

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, 36661980 + ... + 36716821.

It is an arithmetic number, because the mean of its divisors is an integer number (266475119463).

Almost surely, 2^{2012120102221} is an apocalyptic number.

It is an amenable number.

2012120102221 is a deficient number, since it is larger than the sum of its proper divisors (119680853483).

2012120102221 is a wasteful number, since it uses less digits than its factorization.

2012120102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73380431.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012120102221 its reverse (1222010212102), we get a palindrome (3234130314323).

The spelling of 2012120102221 in words is "two trillion, twelve billion, one hundred twenty million, one hundred two thousand, two hundred twenty-one".