10331011220100 has 144 divisors (see below), whose sum is σ = 30254671368768. Its totient is φ = 2721431324160.

The previous prime is 10331011220083. The next prime is 10331011220111. The reversal of 10331011220100 is 102211013301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10331011220100.

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 47 ways as a sum of consecutive naturals, for example, 284763162 + ... + 284799438.

Almost surely, 2^{10331011220100} is an apocalyptic number.

10331011220100 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 10331011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127335684384).

10331011220100 is an abundant number, since it is smaller than the sum of its proper divisors (19923660148668).

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

10331011220100 is a wasteful number, since it uses less digits than its factorization.

10331011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47814 (or 47807 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10331011220100 its reverse (102211013301), we get a palindrome (10433222233401).

The spelling of 10331011220100 in words is "ten trillion, three hundred thirty-one billion, eleven million, two hundred twenty thousand, one hundred".