211310111202112 has 84 divisors (see below), whose sum is σ = 453258853905676. Its totient is φ = 97165159280640.

The previous prime is 211310111202059. The next prime is 211310111202119. The reversal of 211310111202112 is 211202111013112.

It can be written as a sum of positive squares in 6 ways, for example, as 120279124889856 + 91030986312256 = 10967184^2 + 9541016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211310111202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310111202119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58449412 + ... + 61959292.

Almost surely, 2^{211310111202112} 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 211310111202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226629426952838).

211310111202112 is an abundant number, since it is smaller than the sum of its proper divisors (241948742703564).

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

211310111202112 is an equidigital number, since it uses as much as digits as its factorization.

211310111202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510444 (or 3510165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 211310111202112 its reverse (211202111013112), we get a palindrome (422512222215224).

The spelling of 211310111202112 in words is "two hundred eleven trillion, three hundred ten billion, one hundred eleven million, two hundred two thousand, one hundred twelve".