102217225 has 12 divisors (see below), whose sum is σ = 138272400. Its totient is φ = 74339600.

The previous prime is 102217211. The next prime is 102217229. The reversal of 102217225 is 522712201.

It is not a de Polignac number, because 102217225 - 2²⁵ = 68662793 is a prime.

It is a super-2 number, since 2×102217225² = 20896722173401250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102217196 and 102217205.

It is not an unprimeable number, because it can be changed into a prime (102217229) 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, 185575 + ... + 186124.

It is an arithmetic number, because the mean of its divisors is an integer number (11522700).

Almost surely, 2^102217225 is an apocalyptic number.

It is an amenable number.

102217225 is a deficient number, since it is larger than the sum of its proper divisors (36055175).

102217225 is a wasteful number, since it uses less digits than its factorization.

102217225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371720 (or 371715 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 102217225 is about 10110.2534587418. The cubic root of 102217225 is about 467.5643195555.

Adding to 102217225 its reverse (522712201), we get a palindrome (624929426).

The spelling of 102217225 in words is "one hundred two million, two hundred seventeen thousand, two hundred twenty-five".