2012110111001 has 16 divisors (see below), whose sum is σ = 2079715461120. Its totient is φ = 1945792255680.

The previous prime is 2012110110991. The next prime is 2012110111007. The reversal of 2012110111001 is 1001110112102.

It is a cyclic number.

It is not a de Polignac number, because 2012110111001 - 2⁶ = 2012110110937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012110111007) 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, 191636 + ... + 2015178.

It is an arithmetic number, because the mean of its divisors is an integer number (129982216320).

Almost surely, 2^{2012110111001} is an apocalyptic number.

It is an amenable number.

2012110111001 is a deficient number, since it is larger than the sum of its proper divisors (67605350119).

2012110111001 is a wasteful number, since it uses less digits than its factorization.

2012110111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823896.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2012110111001 its reverse (1001110112102), we get a palindrome (3013220223103).

The spelling of 2012110111001 in words is "two trillion, twelve billion, one hundred ten million, one hundred eleven thousand, one".