102210113130320 has 320 divisors, whose sum is σ = 259557247272960. Its totient is φ = 37206120628224.

The previous prime is 102210113130253. The next prime is 102210113130479. The reversal of 102210113130320 is 23031311012201.

It is a happy number.

It is a super-3 number, since 3×102210113130320³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102210113130292 and 102210113130301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35281363112 + ... + 35281366008.

It is an arithmetic number, because the mean of its divisors is an integer number (811116397728).

Almost surely, 2^{102210113130320} is an apocalyptic number.

102210113130320 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 102210113130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129778623636480).

102210113130320 is an abundant number, since it is smaller than the sum of its proper divisors (157347134142640).

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

102210113130320 is a wasteful number, since it uses less digits than its factorization.

102210113130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102210113130320 its reverse (23031311012201), we get a palindrome (125241424142521).

The spelling of 102210113130320 in words is "one hundred two trillion, two hundred ten billion, one hundred thirteen million, one hundred thirty thousand, three hundred twenty".