211101120321 has 48 divisors (see below), whose sum is σ = 352719549504. Its totient is φ = 111314964096.

The previous prime is 211101120289. The next prime is 211101120323. The reversal of 211101120321 is 123021101112.

211101120321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211101120321 - 2⁵ = 211101120289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211101120321.

It is not an unprimeable number, because it can be changed into a prime (211101120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6735930 + ... + 6767196.

It is an arithmetic number, because the mean of its divisors is an integer number (7348323948).

Almost surely, 2^211101120321 is an apocalyptic number.

211101120321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211101120321 is a deficient number, since it is larger than the sum of its proper divisors (141618429183).

211101120321 is a wasteful number, since it uses less digits than its factorization.

211101120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34830 (or 34823 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211101120321 its reverse (123021101112), we get a palindrome (334122221433).

The spelling of 211101120321 in words is "two hundred eleven billion, one hundred one million, one hundred twenty thousand, three hundred twenty-one".