102321200000096 has 144 divisors (see below), whose sum is σ = 255649085701632. Its totient is φ = 39863501395200.

The previous prime is 102321200000077. The next prime is 102321200000119. The reversal of 102321200000096 is 690000002123201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393245081 + ... + 393505191.

It is an arithmetic number, because the mean of its divisors is an integer number (1775340872928).

Almost surely, 2^{102321200000096} is an apocalyptic number.

102321200000096 is a gapful number since it is divisible by the number (16) 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 102321200000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127824542850816).

102321200000096 is an abundant number, since it is smaller than the sum of its proper divisors (153327885701536).

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

102321200000096 is a wasteful number, since it uses less digits than its factorization.

102321200000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282953 (or 282938 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 102321200000096 its reverse (690000002123201), we get a palindrome (792321202123297).

The spelling of 102321200000096 in words is "one hundred two trillion, three hundred twenty-one billion, two hundred million, ninety-six", and thus it is an aban number.