100272056456417 has 8 divisors (see below), whose sum is σ = 103701776678400. Its totient is φ = 96896347576704.

The previous prime is 100272056456387. The next prime is 100272056456491. The reversal of 100272056456417 is 714654650272001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100272056456417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100272056456317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13502831792 + ... + 13502839217.

It is an arithmetic number, because the mean of its divisors is an integer number (12962722084800).

Almost surely, 2^{100272056456417} is an apocalyptic number.

It is an amenable number.

100272056456417 is a deficient number, since it is larger than the sum of its proper divisors (3429720221983).

100272056456417 is an equidigital number, since it uses as much as digits as its factorization.

100272056456417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27005671135.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 100272056456417 in words is "one hundred trillion, two hundred seventy-two billion, fifty-six million, four hundred fifty-six thousand, four hundred seventeen".