10331200110000 has 800 divisors, whose sum is σ = 41992463310336. Its totient is φ = 2125440000000.

The previous prime is 10331200109983. The next prime is 10331200110019. The reversal of 10331200110000 is 1100213301.

10331200110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 233287860 + ... + 233332140.

Almost surely, 2^{10331200110000} is an apocalyptic number.

10331200110000 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 10331200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20996231655168).

10331200110000 is an abundant number, since it is smaller than the sum of its proper divisors (31661263200336).

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

10331200110000 is a wasteful number, since it uses less digits than its factorization.

10331200110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44431 (or 44410 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10331200110000 its reverse (1100213301), we get a palindrome (10332300323301).

The spelling of 10331200110000 in words is "ten trillion, three hundred thirty-one billion, two hundred million, one hundred ten thousand".