211011101110112 has 48 divisors (see below), whose sum is σ = 437301125553600. Its totient is φ = 99950710700160.

The previous prime is 211011101110111. The next prime is 211011101110127.

211011101110112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011101110111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28667687 + ... + 35268377.

It is an arithmetic number, because the mean of its divisors is an integer number (9110440115700).

Almost surely, 2^{211011101110112} is an apocalyptic number.

It is an amenable number.

211011101110112 is an abundant number, since it is smaller than the sum of its proper divisors (226290024443488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211011101110112 is a wasteful number, since it uses less digits than its factorization.

211011101110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653299 (or 6653291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 21101110 and 1110112, that added together give a palindrome (22211222).

The spelling of 211011101110112 in words is "two hundred eleven trillion, eleven billion, one hundred one million, one hundred ten thousand, one hundred twelve".