102000002330000 has 400 divisors, whose sum is σ = 261509666119680. Its totient is φ = 38449629504000.

The previous prime is 102000002329961. The next prime is 102000002330027. The reversal of 102000002330000 is 33200000201.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8848784237 + ... + 8848795763.

Almost surely, 2^{102000002330000} is an apocalyptic number.

102000002330000 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 102000002330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130754833059840).

102000002330000 is an abundant number, since it is smaller than the sum of its proper divisors (159509663789680).

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

102000002330000 is a wasteful number, since it uses less digits than its factorization.

102000002330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 102000002330000 its reverse (33200000201), we get a palindrome (102033202330201).

The spelling of 102000002330000 in words is "one hundred two trillion, two million, three hundred thirty thousand".