102200332210300 has 72 divisors (see below), whose sum is σ = 223819364661200. Its totient is φ = 40503273592320.

The previous prime is 102200332210289. The next prime is 102200332210309. The reversal of 102200332210300 is 3012233002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200332210309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258012199 + ... + 258408001.

Almost surely, 2^{102200332210300} is an apocalyptic number.

102200332210300 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 102200332210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111909682330600).

102200332210300 is an abundant number, since it is smaller than the sum of its proper divisors (121619032450900).

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

102200332210300 is a wasteful number, since it uses less digits than its factorization.

102200332210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419615 (or 419608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102200332210300 its reverse (3012233002201), we get a palindrome (105212565212501).

The spelling of 102200332210300 in words is "one hundred two trillion, two hundred billion, three hundred thirty-two million, two hundred ten thousand, three hundred".