102114044321300 has 144 divisors (see below), whose sum is σ = 243020925665280. Its totient is φ = 36934393968000.

The previous prime is 102114044321291. The next prime is 102114044321353. The reversal of 102114044321300 is 3123440411201.

It is a self number, because there is not a number n which added to its sum of digits gives 102114044321300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3218506037 + ... + 3218537763.

It is an arithmetic number, because the mean of its divisors is an integer number (1687645317120).

Almost surely, 2^{102114044321300} is an apocalyptic number.

102114044321300 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 102114044321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121510462832640).

102114044321300 is an abundant number, since it is smaller than the sum of its proper divisors (140906881343980).

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

102114044321300 is a wasteful number, since it uses less digits than its factorization.

102114044321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47262 (or 47255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102114044321300 its reverse (3123440411201), we get a palindrome (105237484732501).

The spelling of 102114044321300 in words is "one hundred two trillion, one hundred fourteen billion, forty-four million, three hundred twenty-one thousand, three hundred".