10091728987141 has 16 divisors (see below), whose sum is σ = 10480298716800. Its totient is φ = 9705870796608.

The previous prime is 10091728987139. The next prime is 10091728987211. The reversal of 10091728987141 is 14178982719001.

10091728987141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10091728987141 - 2¹ = 10091728987139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041728987141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102739990 + ... + 102838168.

It is an arithmetic number, because the mean of its divisors is an integer number (655018669800).

Almost surely, 2^{10091728987141} is an apocalyptic number.

It is an amenable number.

10091728987141 is a deficient number, since it is larger than the sum of its proper divisors (388569729659).

10091728987141 is a wasteful number, since it uses less digits than its factorization.

10091728987141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111948.

The product of its (nonzero) digits is 2032128, while the sum is 58.

The spelling of 10091728987141 in words is "ten trillion, ninety-one billion, seven hundred twenty-eight million, nine hundred eighty-seven thousand, one hundred forty-one".