102211120 has 60 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 37164160.

The previous prime is 102211093. The next prime is 102211121. The reversal of 102211120 is 21112201.

It is a super-3 number, since 3×102211120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102211097 and 102211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4401 + ... + 14959.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^102211120 is an apocalyptic number.

102211120 is a gapful number since it is divisible by the number (10) 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 102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

102211120 is an abundant number, since it is smaller than the sum of its proper divisors (159022160).

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

102211120 is a wasteful number, since it uses less digits than its factorization.

102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 102211120 is about 10109.9515330193. The cubic root of 102211120 is about 467.5550108276. Note that the first 3 decimals are identical.

Adding to 102211120 its reverse (21112201), we get a palindrome (123323321).

The spelling of 102211120 in words is "one hundred two million, two hundred eleven thousand, one hundred twenty".