10230212102000 has 480 divisors, whose sum is σ = 28055224297152. Its totient is φ = 3577985280000.

The previous prime is 10230212101951. The next prime is 10230212102003. The reversal of 10230212102000 is 20121203201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230212102003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3657564602 + ... + 3657567398.

Almost surely, 2^{10230212102000} is an apocalyptic number.

10230212102000 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 10230212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027612148576).

10230212102000 is an abundant number, since it is smaller than the sum of its proper divisors (17825012195152).

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

10230212102000 is a wasteful number, since it uses less digits than its factorization.

10230212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10230212102000 its reverse (20121203201), we get a palindrome (10250333305201).

The spelling of 10230212102000 in words is "ten trillion, two hundred thirty billion, two hundred twelve million, one hundred two thousand".