10010410111200 has 288 divisors, whose sum is σ = 35613510589440. Its totient is φ = 2431370649600.

The previous prime is 10010410111123. The next prime is 10010410111201. The reversal of 10010410111200 is 211101401001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010410111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2692510 + ... + 5222109.

It is an arithmetic number, because the mean of its divisors is an integer number (123658022880).

Almost surely, 2^{10010410111200} is an apocalyptic number.

10010410111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010410111200 is an abundant number, since it is smaller than the sum of its proper divisors (25603100478240).

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

10010410111200 is a wasteful number, since it uses less digits than its factorization.

10010410111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914690 (or 7914677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010410111200 its reverse (211101401001), we get a palindrome (10221511512201).

The spelling of 10010410111200 in words is "ten trillion, ten billion, four hundred ten million, one hundred eleven thousand, two hundred".