102002011323300 has 216 divisors, whose sum is σ = 348798786073920. Its totient is φ = 24726787142400.

The previous prime is 102002011323293. The next prime is 102002011323353. The reversal of 102002011323300 is 3323110200201.

102002011323300 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 201 + 132 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269476974 + ... + 269855226.

Almost surely, 2^{102002011323300} is an apocalyptic number.

102002011323300 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 102002011323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174399393036960).

102002011323300 is an abundant number, since it is smaller than the sum of its proper divisors (246796774750620).

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

102002011323300 is a wasteful number, since it uses less digits than its factorization.

102002011323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405523 (or 405513 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102002011323300 its reverse (3323110200201), we get a palindrome (105325121523501).

The spelling of 102002011323300 in words is "one hundred two trillion, two billion, eleven million, three hundred twenty-three thousand, three hundred".