102000033300000 has 576 divisors, whose sum is σ = 365326044386688. Its totient is φ = 24711321600000.

The previous prime is 102000033299953. The next prime is 102000033300013. The reversal of 102000033300000 is 3330000201.

It is a happy number.

It is a super-2 number, since 2×102000033300000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5586890872 + ... + 5586909128.

It is an arithmetic number, because the mean of its divisors is an integer number (634246604838).

Almost surely, 2^{102000033300000} is an apocalyptic number.

102000033300000 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 102000033300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182663022193344).

102000033300000 is an abundant number, since it is smaller than the sum of its proper divisors (263326011086688).

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

102000033300000 is a wasteful number, since it uses less digits than its factorization.

102000033300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19999 (or 19971 counting only the distinct ones).

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

Adding to 102000033300000 its reverse (3330000201), we get a palindrome (102003363300201).

The spelling of 102000033300000 in words is "one hundred two trillion, thirty-three million, three hundred thousand".