102102131220 has 192 divisors, whose sum is σ = 309545349120. Its totient is φ = 25058170368.

The previous prime is 102102131207. The next prime is 102102131221. The reversal of 102102131220 is 22131201201.

102102131220 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102102131220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102131221) 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 63 ways as a sum of consecutive naturals, for example, 34881397 + ... + 34884323.

It is an arithmetic number, because the mean of its divisors is an integer number (1612215360).

Almost surely, 2^102102131220 is an apocalyptic number.

102102131220 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 102102131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154772674560).

102102131220 is an abundant number, since it is smaller than the sum of its proper divisors (207443217900).

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

102102131220 is a wasteful number, since it uses less digits than its factorization.

102102131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102102131220 its reverse (22131201201), we get a palindrome (124233332421).

The spelling of 102102131220 in words is "one hundred two billion, one hundred two million, one hundred thirty-one thousand, two hundred twenty".