211101312 has 64 divisors (see below), whose sum is σ = 566393760. Its totient is φ = 69657600.

The previous prime is 211101311. The next prime is 211101313. The reversal of 211101312 is 213101112.

It is an interprime number because it is at equal distance from previous prime (211101311) and next prime (211101313).

It is a tau number, because it is divible by the number of its divisors (64).

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 (211101311) 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, 36063 + ... + 41505.

Almost surely, 2^211101312 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 211101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196880).

211101312 is an abundant number, since it is smaller than the sum of its proper divisors (355292448).

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

211101312 is a wasteful number, since it uses less digits than its factorization.

211101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 211101312 is about 14529.3259306824. The cubic root of 211101312 is about 595.4294496327.

Adding to 211101312 its reverse (213101112), we get a palindrome (424202424).

It can be divided in two parts, 21110 and 1312, that added together give a palindrome (22422).

The spelling of 211101312 in words is "two hundred eleven million, one hundred one thousand, three hundred twelve".