2012111211221 has 16 divisors (see below), whose sum is σ = 2162188196784. Its totient is φ = 1865619247104.

The previous prime is 2012111211199. The next prime is 2012111211251. The reversal of 2012111211221 is 1221121112102.

It can be written as a sum of positive squares in 8 ways, for example, as 168100 + 2012111043121 = 410^2 + 1418489^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012111211221 - 2¹⁴ = 2012111194837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012111211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012111211251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108185 + ... + 2008961.

It is an arithmetic number, because the mean of its divisors is an integer number (135136762299).

Almost surely, 2^{2012111211221} is an apocalyptic number.

It is an amenable number.

2012111211221 is a deficient number, since it is larger than the sum of its proper divisors (150076985563).

2012111211221 is a wasteful number, since it uses less digits than its factorization.

2012111211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901720.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2012111211221 its reverse (1221121112102), we get a palindrome (3233232323323).

The spelling of 2012111211221 in words is "two trillion, twelve billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-one".