102203340330300 has 1152 divisors, whose sum is σ = 354522409113600. Its totient is φ = 22451306496000.

The previous prime is 102203340330269. The next prime is 102203340330349. The reversal of 102203340330300 is 3033043302201.

It is a happy number.

It is a super-2 number, since 2×102203340330300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92158106146 + ... + 92158107254.

It is an arithmetic number, because the mean of its divisors is an integer number (307745146800).

Almost surely, 2^{102203340330300} is an apocalyptic number.

102203340330300 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 102203340330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177261204556800).

102203340330300 is an abundant number, since it is smaller than the sum of its proper divisors (252319068783300).

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

102203340330300 is a wasteful number, since it uses less digits than its factorization.

102203340330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 102203340330300 its reverse (3033043302201), we get a palindrome (105236383632501).

The spelling of 102203340330300 in words is "one hundred two trillion, two hundred three billion, three hundred forty million, three hundred thirty thousand, three hundred".