2012001221101 has 8 divisors (see below), whose sum is σ = 2019220694840. Its totient is φ = 2004792968448.

The previous prime is 2012001221081. The next prime is 2012001221179. The reversal of 2012001221101 is 1011221002102.

It can be written as a sum of positive squares in 4 ways, for example, as 1555395594025 + 456605627076 = 1247155^2 + 675726^2 .

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 2012001221101 - 2¹⁵ = 2012001188333 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 (2012001621101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2445936 + ... + 3163321.

It is an arithmetic number, because the mean of its divisors is an integer number (252402586855).

Almost surely, 2^{2012001221101} is an apocalyptic number.

It is an amenable number.

2012001221101 is a deficient number, since it is larger than the sum of its proper divisors (7219473739).

2012001221101 is an equidigital number, since it uses as much as digits as its factorization.

2012001221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610543.

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

Adding to 2012001221101 its reverse (1011221002102), we get a palindrome (3023222223203).

The spelling of 2012001221101 in words is "two trillion, twelve billion, one million, two hundred twenty-one thousand, one hundred one".