2011200111011 has 32 divisors (see below), whose sum is σ = 2647950560640. Its totient is φ = 1482234494976.

The previous prime is 2011200110951. The next prime is 2011200111031. The reversal of 2011200111011 is 1101110021102.

It is a cyclic number.

It is not a de Polignac number, because 2011200111011 - 2¹⁰ = 2011200109987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011200110983 and 2011200111001.

It is not an unprimeable number, because it can be changed into a prime (2011200111031) 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 31 ways as a sum of consecutive naturals, for example, 6551306 + ... + 6851423.

It is an arithmetic number, because the mean of its divisors is an integer number (82748455020).

Almost surely, 2^{2011200111011} is an apocalyptic number.

2011200111011 is a deficient number, since it is larger than the sum of its proper divisors (636750449629).

2011200111011 is a wasteful number, since it uses less digits than its factorization.

2011200111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402863.

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

Adding to 2011200111011 its reverse (1101110021102), we get a palindrome (3112310132113).

The spelling of 2011200111011 in words is "two trillion, eleven billion, two hundred million, one hundred eleven thousand, eleven".