11211011010111 has 64 divisors (see below), whose sum is σ = 16565740240896. Its totient is φ = 6687625104000.

The previous prime is 11211011010103. The next prime is 11211011010119. The reversal of 11211011010111 is 11101011011211.

It is an interprime number because it is at equal distance from previous prime (11211011010103) and next prime (11211011010119).

It is not a de Polignac number, because 11211011010111 - 2³ = 11211011010103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211011010119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391883170 + ... + 391911776.

It is an arithmetic number, because the mean of its divisors is an integer number (258839691264).

Almost surely, 2^{11211011010111} is an apocalyptic number.

11211011010111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211011010111 is a deficient number, since it is larger than the sum of its proper divisors (5354729230785).

11211011010111 is a wasteful number, since it uses less digits than its factorization.

11211011010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29412.

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

Adding to 11211011010111 its reverse (11101011011211), we get a palindrome (22312022021322).

The spelling of 11211011010111 in words is "eleven trillion, two hundred eleven billion, eleven million, ten thousand, one hundred eleven".