2011011111201 has 16 divisors (see below), whose sum is σ = 2708475317568. Its totient is φ = 1327116168000.

The previous prime is 2011011111191. The next prime is 2011011111211. The reversal of 2011011111201 is 1021111101102.

It is an interprime number because it is at equal distance from previous prime (2011011111191) and next prime (2011011111211).

It is not a de Polignac number, because 2011011111201 - 2¹¹ = 2011011109153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011011111211) 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 15 ways as a sum of consecutive naturals, for example, 713955 + ... + 2128791.

It is an arithmetic number, because the mean of its divisors is an integer number (169279707348).

Almost surely, 2^{2011011111201} is an apocalyptic number.

It is an amenable number.

2011011111201 is a deficient number, since it is larger than the sum of its proper divisors (697464206367).

2011011111201 is a wasteful number, since it uses less digits than its factorization.

2011011111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419632.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011011111201 its reverse (1021111101102), we get a palindrome (3032122212303).

It can be divided in two parts, 2011011 and 111201, that added together give a palindrome (2122212).

The spelling of 2011011111201 in words is "two trillion, eleven billion, eleven million, one hundred eleven thousand, two hundred one".