211011000110112 has 384 divisors, whose sum is σ = 583435366214400. Its totient is φ = 66710656843776.

The previous prime is 211011000110047. The next prime is 211011000110123.

211011000110112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211011000110112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8134880439 + ... + 8134906377.

It is an arithmetic number, because the mean of its divisors is an integer number (1519362932850).

Almost surely, 2^{211011000110112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211011000110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291717683107200).

211011000110112 is an abundant number, since it is smaller than the sum of its proper divisors (372424366104288).

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

211011000110112 is a wasteful number, since it uses less digits than its factorization.

211011000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26428 (or 26420 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 211011000 and 110112, that added together give a palindrome (211121112).

The spelling of 211011000110112 in words is "two hundred eleven trillion, eleven billion, one hundred ten thousand, one hundred twelve".