102102210 has 96 divisors (see below), whose sum is σ = 310527360. Its totient is φ = 22788864.

The previous prime is 102102199. The next prime is 102102229. The reversal of 102102210 is 12201201.

It is a super-2 number, since 2×102102210² = 20849722573768200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102102192 and 102102201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25206 + ... + 28974.

It is an arithmetic number, because the mean of its divisors is an integer number (3234660).

Almost surely, 2^102102210 is an apocalyptic number.

102102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155263680).

102102210 is an abundant number, since it is smaller than the sum of its proper divisors (208425150).

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

102102210 is a wasteful number, since it uses less digits than its factorization.

102102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102102210 is about 10104.5638203734. The cubic root of 102102210 is about 467.3888856767.

Adding to 102102210 its reverse (12201201), we get a palindrome (114303411).

The spelling of 102102210 in words is "one hundred two million, one hundred two thousand, two hundred ten".