10010332120200 has 384 divisors, whose sum is σ = 32324259686400. Its totient is φ = 2560884480000.

The previous prime is 10010332120183. The next prime is 10010332120207. The reversal of 10010332120200 is 202123301001.

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 10010332120200.

It is not an unprimeable number, because it can be changed into a prime (10010332120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346711765 + ... + 346740635.

It is an arithmetic number, because the mean of its divisors is an integer number (84177759600).

Almost surely, 2^{10010332120200} is an apocalyptic number.

10010332120200 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 10010332120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162129843200).

10010332120200 is an abundant number, since it is smaller than the sum of its proper divisors (22313927566200).

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

10010332120200 is a wasteful number, since it uses less digits than its factorization.

10010332120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29173 (or 29164 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10010332120200 its reverse (202123301001), we get a palindrome (10212455421201).

The spelling of 10010332120200 in words is "ten trillion, ten billion, three hundred thirty-two million, one hundred twenty thousand, two hundred".