10201188127728 has 80 divisors (see below), whose sum is σ = 28386975367296. Its totient is φ = 3138080920320.

The previous prime is 10201188127727. The next prime is 10201188127733. The reversal of 10201188127728 is 82772188110201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201188127727) 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, 686551 + ... + 4568777.

Almost surely, 2^{10201188127728} is an apocalyptic number.

It is an amenable number.

10201188127728 is an abundant number, since it is smaller than the sum of its proper divisors (18185787239568).

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

10201188127728 is a wasteful number, since it uses less digits than its factorization.

10201188127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886462 (or 3886456 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 48.

The spelling of 10201188127728 in words is "ten trillion, two hundred one billion, one hundred eighty-eight million, one hundred twenty-seven thousand, seven hundred twenty-eight".