211312321101 has 64 divisors (see below), whose sum is σ = 366373632000. Its totient is φ = 120321727344.

The previous prime is 211312321063. The next prime is 211312321117. The reversal of 211312321101 is 101123213112.

211312321101 is a `hidden beast` number, since 21 + 1 + 312 + 321 + 10 + 1 = 666.

It is not a de Polignac number, because 211312321101 - 2¹⁰ = 211312320077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312321001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2580550 + ... + 2661176.

It is an arithmetic number, because the mean of its divisors is an integer number (5724588000).

Almost surely, 2^211312321101 is an apocalyptic number.

211312321101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211312321101 is a deficient number, since it is larger than the sum of its proper divisors (155061310899).

211312321101 is an equidigital number, since it uses as much as digits as its factorization.

211312321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80940 (or 80920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211312321101 its reverse (101123213112), we get a palindrome (312435534213).

The spelling of 211312321101 in words is "two hundred eleven billion, three hundred twelve million, three hundred twenty-one thousand, one hundred one".