211110101122011 has 128 divisors (see below), whose sum is σ = 358621046784000. Its totient is φ = 107486711354880.

The previous prime is 211110101121989. The next prime is 211110101122043. The reversal of 211110101122011 is 110221101011112.

211110101122011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211110101122011 - 2⁵ = 211110101121979 is a prime.

It is a super-2 number, since 2×211110101122011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211110101132011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4921074640 + ... + 4921117538.

It is an arithmetic number, because the mean of its divisors is an integer number (2801726928000).

Almost surely, 2^{211110101122011} is an apocalyptic number.

211110101122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211110101122011 is a deficient number, since it is larger than the sum of its proper divisors (147510945661989).

211110101122011 is a wasteful number, since it uses less digits than its factorization.

211110101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46809.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211110101122011 its reverse (110221101011112), we get a palindrome (321331202133123).

It can be divided in two parts, 211110101 and 122011, that added together give a palindrome (211232112).

The spelling of 211110101122011 in words is "two hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand, eleven".