102000202230200 has 192 divisors, whose sum is σ = 247854486297600. Its totient is φ = 38993114419200.

The previous prime is 102000202230151. The next prime is 102000202230217. The reversal of 102000202230200 is 2032202000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280672211 + ... + 281035389.

It is an arithmetic number, because the mean of its divisors is an integer number (1290908782800).

Almost surely, 2^{102000202230200} is an apocalyptic number.

102000202230200 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 102000202230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123927243148800).

102000202230200 is an abundant number, since it is smaller than the sum of its proper divisors (145854284067400).

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

102000202230200 is a wasteful number, since it uses less digits than its factorization.

102000202230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363790 (or 363781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 102000202230200 its reverse (2032202000201), we get a palindrome (104032404230401).

The spelling of 102000202230200 in words is "one hundred two trillion, two hundred two million, two hundred thirty thousand, two hundred".