211101210112 has 80 divisors (see below), whose sum is σ = 454406353632. Its totient is φ = 97394688000.

The previous prime is 211101210007. The next prime is 211101210113. The reversal of 211101210112 is 211012101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211101210092 and 211101210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101210113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26626693 + ... + 26634619.

Almost surely, 2^211101210112 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 211101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227203176816).

211101210112 is an abundant number, since it is smaller than the sum of its proper divisors (243305143520).

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

211101210112 is an equidigital number, since it uses as much as digits as its factorization.

211101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211101210112 its reverse (211012101112), we get a palindrome (422113311224).

The spelling of 211101210112 in words is "two hundred eleven billion, one hundred one million, two hundred ten thousand, one hundred twelve".