102300330000000 has 1024 divisors, whose sum is σ = 379635059381760. Its totient is φ = 24192000000000.

The previous prime is 102300329999951. The next prime is 102300330000007. The reversal of 102300330000000 is 33003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102300330000007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13529996220 + ... + 13530003780.

Almost surely, 2^{102300330000000} is an apocalyptic number.

102300330000000 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 102300330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189817529690880).

102300330000000 is an abundant number, since it is smaller than the sum of its proper divisors (277334729381760).

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

102300330000000 is an frugal number, since it uses more digits than its factorization.

102300330000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 102300330000000 its reverse (33003201), we get a palindrome (102300363003201).

The spelling of 102300330000000 in words is "one hundred two trillion, three hundred billion, three hundred thirty million", and thus it is an aban number.