211011011100111 has 32 divisors (see below), whose sum is σ = 298275761442816. Its totient is φ = 132455576160000.

The previous prime is 211011011100047. The next prime is 211011011100121. The reversal of 211011011100111 is 111001110110112.

It is not a de Polignac number, because 211011011100111 - 2⁶ = 211011011100047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011011100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517842331 + ... + 518249651.

It is an arithmetic number, because the mean of its divisors is an integer number (9321117545088).

Almost surely, 2^{211011011100111} is an apocalyptic number.

211011011100111 is a deficient number, since it is larger than the sum of its proper divisors (87264750342705).

211011011100111 is a wasteful number, since it uses less digits than its factorization.

211011011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557943.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 211011011100111 its reverse (111001110110112), we get a palindrome (322012121210223).

The spelling of 211011011100111 in words is "two hundred eleven trillion, eleven billion, eleven million, one hundred thousand, one hundred eleven".