2012001111101 has 2 divisors, whose sum is σ = 2012001111102. Its totient is φ = 2012001111100.

The previous prime is 2012001111097. The next prime is 2012001111151. The reversal of 2012001111101 is 1011111002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1832974807876 + 179026303225 = 1353874^2 + 423115^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012001111101 - 2² = 2012001111097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012001111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006000555550 + 1006000555551.

It is an arithmetic number, because the mean of its divisors is an integer number (1006000555551).

Almost surely, 2^{2012001111101} is an apocalyptic number.

It is an amenable number.

2012001111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012001111101 is an equidigital number, since it uses as much as digits as its factorization.

2012001111101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2012001111101 its reverse (1011111002102), we get a palindrome (3023112113203).

The spelling of 2012001111101 in words is "two trillion, twelve billion, one million, one hundred eleven thousand, one hundred one".