10100120323200 has 384 divisors, whose sum is σ = 33594259204800. Its totient is φ = 2667018240000.

The previous prime is 10100120323177. The next prime is 10100120323213. The reversal of 10100120323200 is 232302100101.

It is a tau number, because it is divible by the number of its divisors (384).

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 10100120323200.

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, 416848686 + ... + 416872914.

Almost surely, 2^{10100120323200} is an apocalyptic number.

10100120323200 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 10100120323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797129602400).

10100120323200 is an abundant number, since it is smaller than the sum of its proper divisors (23494138881600).

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

10100120323200 is a wasteful number, since it uses less digits than its factorization.

10100120323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24680 (or 24663 counting only the distinct ones).

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

Adding to 10100120323200 its reverse (232302100101), we get a palindrome (10332422423301).

The spelling of 10100120323200 in words is "ten trillion, one hundred billion, one hundred twenty million, three hundred twenty-three thousand, two hundred".