102117213 has 16 divisors (see below), whose sum is σ = 165038400. Its totient is φ = 61889040.

The previous prime is 102117209. The next prime is 102117227. The reversal of 102117213 is 312711201.

It is a happy number.

It is not a de Polignac number, because 102117213 - 2² = 102117209 is a prime.

It is a super-3 number, since 3×102117213³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102117203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171618 + ... + 172211.

It is an arithmetic number, because the mean of its divisors is an integer number (10314900).

Almost surely, 2^102117213 is an apocalyptic number.

It is an amenable number.

102117213 is a deficient number, since it is larger than the sum of its proper divisors (62921187).

102117213 is a wasteful number, since it uses less digits than its factorization.

102117213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343849 (or 343843 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 102117213 is about 10105.3061804183. The cubic root of 102117213 is about 467.4117774177.

Adding to 102117213 its reverse (312711201), we get a palindrome (414828414).

It can be divided in two parts, 10211 and 7213, that added together give a square (17424 = 132²).

The spelling of 102117213 in words is "one hundred two million, one hundred seventeen thousand, two hundred thirteen".