10010103241200 has 240 divisors, whose sum is σ = 32648996163840. Its totient is φ = 2620913725440.

The previous prime is 10010103241199. The next prime is 10010103241211. The reversal of 10010103241200 is 214230101001.

It is a tau number, because it is divible by the number of its divisors (240).

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 10010103241200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58182504 + ... + 58354296.

It is an arithmetic number, because the mean of its divisors is an integer number (136037484016).

Almost surely, 2^{10010103241200} is an apocalyptic number.

10010103241200 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 10010103241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324498081920).

10010103241200 is an abundant number, since it is smaller than the sum of its proper divisors (22638892922640).

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

10010103241200 is a wasteful number, since it uses less digits than its factorization.

10010103241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172696 (or 172685 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10010103241200 its reverse (214230101001), we get a palindrome (10224333342201).

The spelling of 10010103241200 in words is "ten trillion, ten billion, one hundred three million, two hundred forty-one thousand, two hundred".