211010110202112 has 144 divisors (see below), whose sum is σ = 604853482554048. Its totient is φ = 64919823851520.

The previous prime is 211010110202083. The next prime is 211010110202119. The reversal of 211010110202112 is 211202011010112.

It is a happy number.

211010110202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211010110202091 and 211010110202100.

It is not an unprimeable number, because it can be changed into a prime (211010110202119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101335287 + ... + 103396617.

Almost surely, 2^{211010110202112} 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 211010110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302426741277024).

211010110202112 is an abundant number, since it is smaller than the sum of its proper divisors (393843372351936).

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

211010110202112 is a wasteful number, since it uses less digits than its factorization.

211010110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071616 (or 2071602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211010110202112 its reverse (211202011010112), we get a palindrome (422212121212224).

The spelling of 211010110202112 in words is "two hundred eleven trillion, ten billion, one hundred ten million, two hundred two thousand, one hundred twelve".