2011201111111 has 8 divisors (see below), whose sum is σ = 2015030754864. Its totient is φ = 2007375068160.

The previous prime is 2011201111099. The next prime is 2011201111147. The reversal of 2011201111111 is 1111111021102.

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 2011201111111 - 2¹³ = 2011201102919 is a prime.

It is a Duffinian number.

2011201111111 is a modest number, since divided by 1111111 gives 201120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2011201111091 and 2011201111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011201111151) 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, 219271 + ... + 2017543.

It is an arithmetic number, because the mean of its divisors is an integer number (251878844358).

Almost surely, 2^{2011201111111} is an apocalyptic number.

2011201111111 is a deficient number, since it is larger than the sum of its proper divisors (3829643753).

2011201111111 is a wasteful number, since it uses less digits than its factorization.

2011201111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800401.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2011201111111 its reverse (1111111021102), we get a palindrome (3122312132213).

Subtracting from 2011201111111 its reverse (1111111021102), we obtain a palindrome (900090090009).

The spelling of 2011201111111 in words is "two trillion, eleven billion, two hundred one million, one hundred eleven thousand, one hundred eleven".