102212520 has 64 divisors (see below), whose sum is σ = 311238720. Its totient is φ = 26847744.

The previous prime is 102212519. The next prime is 102212527. The reversal of 102212520 is 25212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212520.

It is not an unprimeable number, because it can be changed into a prime (102212527) 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 15 ways as a sum of consecutive naturals, for example, 1684 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (4863105).

Almost surely, 2^102212520 is an apocalyptic number.

102212520 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 102212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155619360).

102212520 is an abundant number, since it is smaller than the sum of its proper divisors (209026200).

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

102212520 is a wasteful number, since it uses less digits than its factorization.

102212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102212520 is about 10110.0207714920. The cubic root of 102212520 is about 467.5571455400.

Adding to 102212520 its reverse (25212201), we get a palindrome (127424721).

The spelling of 102212520 in words is "one hundred two million, two hundred twelve thousand, five hundred twenty".