102110311320000 has 280 divisors, whose sum is σ = 339087832359936. Its totient is φ = 27109455744000.

The previous prime is 102110311319987. The next prime is 102110311320011. The reversal of 102110311320000 is 23113011201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25365729 + ... + 29114271.

Almost surely, 2^{102110311320000} is an apocalyptic number.

102110311320000 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 102110311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169543916179968).

102110311320000 is an abundant number, since it is smaller than the sum of its proper divisors (236977521039936).

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

102110311320000 is an equidigital number, since it uses as much as digits as its factorization.

102110311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748805 (or 3748780 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102110311320000 its reverse (23113011201), we get a palindrome (102133424331201).

The spelling of 102110311320000 in words is "one hundred two trillion, one hundred ten billion, three hundred eleven million, three hundred twenty thousand".