102213120 has 80 divisors (see below), whose sum is σ = 326787120. Its totient is φ = 27254784.

The previous prime is 102213113. The next prime is 102213151. The reversal of 102213120 is 21312201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102213096 and 102213105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (4084839).

Almost surely, 2^102213120 is an apocalyptic number.

102213120 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 102213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163393560).

102213120 is an abundant number, since it is smaller than the sum of its proper divisors (224574000).

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

102213120 is an equidigital number, since it uses as much as digits as its factorization.

102213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102213120 is about 10110.0504449780. The cubic root of 102213120 is about 467.5580604108.

Adding to 102213120 its reverse (21312201), we get a palindrome (123525321).

The spelling of 102213120 in words is "one hundred two million, two hundred thirteen thousand, one hundred twenty".