102003213132300 has 576 divisors, whose sum is σ = 315310778818560. Its totient is φ = 25404727265280.

The previous prime is 102003213132257. The next prime is 102003213132307. The reversal of 102003213132300 is 3231312300201.

It is a super-3 number, since 3×102003213132300³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102003213132307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70492890177 + ... + 70492891623.

It is an arithmetic number, because the mean of its divisors is an integer number (547414546560).

Almost surely, 2^{102003213132300} is an apocalyptic number.

102003213132300 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 102003213132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157655389409280).

102003213132300 is an abundant number, since it is smaller than the sum of its proper divisors (213307565686260).

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

102003213132300 is a wasteful number, since it uses less digits than its factorization.

102003213132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102003213132300 its reverse (3231312300201), we get a palindrome (105234525432501).

The spelling of 102003213132300 in words is "one hundred two trillion, three billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred".