102002330003300 has 18 divisors (see below), whose sum is σ = 221345056107378. Its totient is φ = 40800932001280.

The previous prime is 102002330003267. The next prime is 102002330003309. The reversal of 102002330003300 is 3300033200201.

It can be written as a sum of positive squares in 3 ways, for example, as 6046356416356 + 95955973586944 = 2458934^2 + 9795712^2 .

It is a super-2 number, since 2×102002330003300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102002330003309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510011649917 + ... + 510011650116.

It is an arithmetic number, because the mean of its divisors is an integer number (12296947561521).

Almost surely, 2^{102002330003300} is an apocalyptic number.

102002330003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002330003300 is an abundant number, since it is smaller than the sum of its proper divisors (119342726104078).

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

102002330003300 is a wasteful number, since it uses less digits than its factorization.

102002330003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020023300047 (or 1020023300040 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 102002330003300 its reverse (3300033200201), we get a palindrome (105302363203501).

The spelling of 102002330003300 in words is "one hundred two trillion, two billion, three hundred thirty million, three thousand, three hundred".