102102012220 has 96 divisors (see below), whose sum is σ = 235381386240. Its totient is φ = 36971854080.

The previous prime is 102102012217. The next prime is 102102012227. The reversal of 102102012220 is 22210201201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102102012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6603819 + ... + 6619261.

It is an arithmetic number, because the mean of its divisors is an integer number (2451889440).

Almost surely, 2^102102012220 is an apocalyptic number.

102102012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117690693120).

102102012220 is an abundant number, since it is smaller than the sum of its proper divisors (133279374020).

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

102102012220 is a wasteful number, since it uses less digits than its factorization.

102102012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102102012220 its reverse (22210201201), we get a palindrome (124312213421).

The spelling of 102102012220 in words is "one hundred two billion, one hundred two million, twelve thousand, two hundred twenty".