211111011101011 has 16 divisors (see below), whose sum is σ = 241586399617024. Its totient is φ = 180714833560224.

The previous prime is 211111011100993. The next prime is 211111011101017. The reversal of 211111011101011 is 110101110111112.

It is a cyclic number.

It is not a de Polignac number, because 211111011101011 - 2²⁹ = 211110474230099 is a prime.

It is a super-3 number, since 3×211111011101011³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211111011100982 and 211111011101000.

It is not an unprimeable number, because it can be changed into a prime (211111011101017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57577225 + ... + 61133941.

It is an arithmetic number, because the mean of its divisors is an integer number (15099149976064).

Almost surely, 2^{211111011101011} is an apocalyptic number.

211111011101011 is a deficient number, since it is larger than the sum of its proper divisors (30475388516013).

211111011101011 is a wasteful number, since it uses less digits than its factorization.

211111011101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567850.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 211111011101011 its reverse (110101110111112), we get a palindrome (321212121212123).

The spelling of 211111011101011 in words is "two hundred eleven trillion, one hundred eleven billion, eleven million, one hundred one thousand, eleven".