2202301310000 has 200 divisors, whose sum is σ = 5825507103504. Its totient is φ = 799626880000.

The previous prime is 2202301309981. The next prime is 2202301310023. The reversal of 2202301310000 is 131032022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2202301310000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74455214 + ... + 74484786.

Almost surely, 2^{2202301310000} is an apocalyptic number.

2202301310000 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 2202301310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912753551752).

2202301310000 is an abundant number, since it is smaller than the sum of its proper divisors (3623205793504).

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

2202301310000 is a wasteful number, since it uses less digits than its factorization.

2202301310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30289 (or 30268 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2202301310000 its reverse (131032022), we get a palindrome (2202432342022).

The spelling of 2202301310000 in words is "two trillion, two hundred two billion, three hundred one million, three hundred ten thousand".