211010212010112 has 256 divisors, whose sum is σ = 591860920896000. Its totient is φ = 66520159027200.

The previous prime is 211010212010009. The next prime is 211010212010161.

It is a happy number.

211010212010112 is nontrivially palindromic in base 10.

211010212010112 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 = 211010212010091 and 211010212010100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157196764 + ... + 158533412.

It is an arithmetic number, because the mean of its divisors is an integer number (2311956722250).

Almost surely, 2^{211010212010112} 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 211010212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295930460448000).

211010212010112 is an abundant number, since it is smaller than the sum of its proper divisors (380850708885888).

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

211010212010112 is a wasteful number, since it uses less digits than its factorization.

211010212010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337015 (or 1337003 counting only the distinct ones).

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

The spelling of 211010212010112 in words is "two hundred eleven trillion, ten billion, two hundred twelve million, ten thousand, one hundred twelve".