2011312101111 has 16 divisors (see below), whose sum is σ = 2714381080320. Its totient is φ = 1324562754240.

The previous prime is 2011312101053. The next prime is 2011312101121. The reversal of 2011312101111 is 1111012131102.

It is not a de Polignac number, because 2011312101111 - 2⁶ = 2011312101047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011312101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647750 + ... + 2595708.

It is an arithmetic number, because the mean of its divisors is an integer number (169648817520).

Almost surely, 2^{2011312101111} is an apocalyptic number.

2011312101111 is a deficient number, since it is larger than the sum of its proper divisors (703068979209).

2011312101111 is an equidigital number, since it uses as much as digits as its factorization.

2011312101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956566.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 2011312101111 its reverse (1111012131102), we get a palindrome (3122324232213).

The spelling of 2011312101111 in words is "two trillion, eleven billion, three hundred twelve million, one hundred one thousand, one hundred eleven".