102211218 has 48 divisors (see below), whose sum is σ = 232277760. Its totient is φ = 32421312.

The previous prime is 102211217. The next prime is 102211231. The reversal of 102211218 is 812112201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102211218.

It is not an unprimeable number, because it can be changed into a prime (102211217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98430 + ... + 99462.

It is an arithmetic number, because the mean of its divisors is an integer number (4839120).

Almost surely, 2^102211218 is an apocalyptic number.

102211218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116138880).

102211218 is an abundant number, since it is smaller than the sum of its proper divisors (130066542).

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

102211218 is a wasteful number, since it uses less digits than its factorization.

102211218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 102211218 is about 10109.9563797279. The cubic root of 102211218 is about 467.5551602581. Note that the first 3 decimals are identical.

Adding to 102211218 its reverse (812112201), we get a palindrome (914323419).

The spelling of 102211218 in words is "one hundred two million, two hundred eleven thousand, two hundred eighteen".