211001120211112 has 128 divisors (see below), whose sum is σ = 494250878557440. Its totient is φ = 82041480622080.

The previous prime is 211001120211109. The next prime is 211001120211139. The reversal of 211001120211112 is 211112021100112.

211001120211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 599850678 + ... + 600202330.

It is an arithmetic number, because the mean of its divisors is an integer number (3861334988730).

Almost surely, 2^{211001120211112} is an apocalyptic number.

211001120211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001120211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247125439278720).

211001120211112 is an abundant number, since it is smaller than the sum of its proper divisors (283249758346328).

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

211001120211112 is a wasteful number, since it uses less digits than its factorization.

211001120211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353651 (or 353647 counting only the distinct ones).

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

Adding to 211001120211112 its reverse (211112021100112), we get a palindrome (422113141311224).

The spelling of 211001120211112 in words is "two hundred eleven trillion, one billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".