230202200100000 has 1152 divisors, whose sum is σ = 794542945996800. Its totient is φ = 58276108800000.

The previous prime is 230202200099981. The next prime is 230202200100053. The reversal of 230202200100000 is 1002202032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211001099455 + ... + 211001100545.

It is an arithmetic number, because the mean of its divisors is an integer number (689707418400).

Almost surely, 2^{230202200100000} is an apocalyptic number.

230202200100000 is a gapful number since it is divisible by the number (20) 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 230202200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397271472998400).

230202200100000 is an abundant number, since it is smaller than the sum of its proper divisors (564340745896800).

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

230202200100000 is a wasteful number, since it uses less digits than its factorization.

230202200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 230202200100000 its reverse (1002202032), we get a palindrome (230203202302032).

The spelling of 230202200100000 in words is "two hundred thirty trillion, two hundred two billion, two hundred million, one hundred thousand".