211102321102320 has 160 divisors (see below), whose sum is σ = 663431808628800. Its totient is φ = 55518617935872.

The previous prime is 211102321102319. The next prime is 211102321102417. The reversal of 211102321102320 is 23201123201112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235529586 + ... + 236424174.

It is an arithmetic number, because the mean of its divisors is an integer number (4146448803930).

Almost surely, 2^{211102321102320} is an apocalyptic number.

211102321102320 is a gapful number since it is divisible by the number (20) 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 211102321102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331715904314400).

211102321102320 is an abundant number, since it is smaller than the sum of its proper divisors (452329487526480).

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

211102321102320 is a wasteful number, since it uses less digits than its factorization.

211102321102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908147 (or 908141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211102321102320 its reverse (23201123201112), we get a palindrome (234303444303432).

The spelling of 211102321102320 in words is "two hundred eleven trillion, one hundred two billion, three hundred twenty-one million, one hundred two thousand, three hundred twenty".