10244120010000 has 400 divisors, whose sum is σ = 33336571382400. Its totient is φ = 2709780480000.

The previous prime is 10244120009993. The next prime is 10244120010013. The reversal of 10244120010000 is 1002144201.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2107407570 + ... + 2107412430.

It is an arithmetic number, because the mean of its divisors is an integer number (83341428456).

Almost surely, 2^{10244120010000} is an apocalyptic number.

10244120010000 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 10244120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668285691200).

10244120010000 is an abundant number, since it is smaller than the sum of its proper divisors (23092451372400).

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

10244120010000 is a wasteful number, since it uses less digits than its factorization.

10244120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10244120010000 its reverse (1002144201), we get a palindrome (10245122154201).

The spelling of 10244120010000 in words is "ten trillion, two hundred forty-four billion, one hundred twenty million, ten thousand".