2012110001221 has 8 divisors (see below), whose sum is σ = 2023331000600. Its totient is φ = 2000890149120.

The previous prime is 2012110001207. The next prime is 2012110001227. The reversal of 2012110001221 is 1221000112102.

It can be written as a sum of positive squares in 4 ways, for example, as 506745121 + 2011603256100 = 22511^2 + 1418310^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2012110001221 - 2⁹ = 2012110000709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012110001227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3359425 + ... + 3912793.

It is an arithmetic number, because the mean of its divisors is an integer number (252916375075).

Almost surely, 2^{2012110001221} is an apocalyptic number.

It is an amenable number.

2012110001221 is a deficient number, since it is larger than the sum of its proper divisors (11220999379).

2012110001221 is a wasteful number, since it uses less digits than its factorization.

2012110001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573639.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012110001221 its reverse (1221000112102), we get a palindrome (3233110113323).

The spelling of 2012110001221 in words is "two trillion, twelve billion, one hundred ten million, one thousand, two hundred twenty-one".