102181710720 has 256 divisors, whose sum is σ = 331816020480. Its totient is φ = 26740285440.

The previous prime is 102181710689. The next prime is 102181710733. The reversal of 102181710720 is 27017181201.

It is a super-2 number, since 2×102181710720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37690165 + ... + 37692875.

It is an arithmetic number, because the mean of its divisors is an integer number (1296156330).

Almost surely, 2^102181710720 is an apocalyptic number.

102181710720 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 102181710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908010240).

102181710720 is an abundant number, since it is smaller than the sum of its proper divisors (229634309760).

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

102181710720 is a wasteful number, since it uses less digits than its factorization.

102181710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 30.

Adding to 102181710720 its reverse (27017181201), we get a palindrome (129198891921).

The spelling of 102181710720 in words is "one hundred two billion, one hundred eighty-one million, seven hundred ten thousand, seven hundred twenty".