331002100010000 has 200 divisors, whose sum is σ = 803450731591200. Its totient is φ = 132060434688000.

The previous prime is 331002100009979. The next prime is 331002100010027. The reversal of 331002100010000 is 10001200133.

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

It is a super-2 number, since 2×331002100010000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16802980151 + ... + 16802999849.

It is an arithmetic number, because the mean of its divisors is an integer number (4017253657956).

Almost surely, 2^{331002100010000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401725365795600).

331002100010000 is an abundant number, since it is smaller than the sum of its proper divisors (472448631581200).

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

331002100010000 is a wasteful number, since it uses less digits than its factorization.

331002100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23963 (or 23942 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 331002100010000 its reverse (10001200133), we get a palindrome (331012101210133).

The spelling of 331002100010000 in words is "three hundred thirty-one trillion, two billion, one hundred million, ten thousand".