10099887142144 has 72 divisors (see below), whose sum is σ = 20658893247720. Its totient is φ = 4925138534400.

The previous prime is 10099887142097. The next prime is 10099887142153. The reversal of 10099887142144 is 44124178899001.

It can be written as a sum of positive squares in 4 ways, for example, as 1959776006400 + 8140111135744 = 1399920^2 + 2853088^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31760122 + ... + 32076550.

It is an arithmetic number, because the mean of its divisors is an integer number (286929072885).

Almost surely, 2^{10099887142144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10099887142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329446623860).

10099887142144 is an abundant number, since it is smaller than the sum of its proper divisors (10559006105576).

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

10099887142144 is an equidigital number, since it uses as much as digits as its factorization.

10099887142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319527 (or 319513 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 10099887142144 in words is "ten trillion, ninety-nine billion, eight hundred eighty-seven million, one hundred forty-two thousand, one hundred forty-four".