211010101010112 has 224 divisors, whose sum is σ = 574712124640000. Its totient is φ = 68277598728192.

The previous prime is 211010101010089. The next prime is 211010101010119.

211010101010112 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (211010101010119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15040986714 + ... + 15041000742.

Almost surely, 2^{211010101010112} 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 211010101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356062320000).

211010101010112 is an abundant number, since it is smaller than the sum of its proper divisors (363702023629888).

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

211010101010112 is a wasteful number, since it uses less digits than its factorization.

211010101010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18813 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, 21101010 and 1010112, that added together give a palindrome (22111122).

The spelling of 211010101010112 in words is "two hundred eleven trillion, ten billion, one hundred one million, ten thousand, one hundred twelve".