211011010111101 has 64 divisors (see below), whose sum is σ = 304803909273600. Its totient is φ = 129553214708736.

The previous prime is 211011010111091. The next prime is 211011010111141. The reversal of 211011010111101 is 101111010110112.

It is not a de Polignac number, because 211011010111101 - 2³⁴ = 210993830241917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011010111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209172820 + ... + 210179186.

It is an arithmetic number, because the mean of its divisors is an integer number (4762561082400).

Almost surely, 2^{211011010111101} is an apocalyptic number.

It is an amenable number.

211011010111101 is a deficient number, since it is larger than the sum of its proper divisors (93792899162499).

211011010111101 is a wasteful number, since it uses less digits than its factorization.

211011010111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007718.

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

Adding to 211011010111101 its reverse (101111010110112), we get a palindrome (312122020221213).

The spelling of 211011010111101 in words is "two hundred eleven trillion, eleven billion, ten million, one hundred eleven thousand, one hundred one".