10102102218 has 64 divisors (see below), whose sum is σ = 24239738880. Its totient is φ = 3100140864.

The previous prime is 10102102211. The next prime is 10102102247. The reversal of 10102102218 is 81220120101.

It is a super-3 number, since 3×10102102218³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10102102218.

It is not an unprimeable number, because it can be changed into a prime (10102102211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250080 + ... + 287652.

It is an arithmetic number, because the mean of its divisors is an integer number (378745920).

Almost surely, 2^10102102218 is an apocalyptic number.

10102102218 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 10102102218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119869440).

10102102218 is an abundant number, since it is smaller than the sum of its proper divisors (14137636662).

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

10102102218 is a wasteful number, since it uses less digits than its factorization.

10102102218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37980 (or 37974 counting only the distinct ones).

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

Adding to 10102102218 its reverse (81220120101), we get a palindrome (91322222319).

The spelling of 10102102218 in words is "ten billion, one hundred two million, one hundred two thousand, two hundred eighteen".