100272711671523 has 12 divisors (see below), whose sum is σ = 144934217286768. Its totient is φ = 66804233224560.

The previous prime is 100272711671513. The next prime is 100272711671543. The reversal of 100272711671523 is 325176117272001.

100272711671523 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 2 + 7 + 116 + 7 + 1 + 523 = 666.

It is not a de Polignac number, because 100272711671523 - 2⁵ = 100272711671491 is a prime.

It is a super-3 number, since 3×100272711671523³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100272711671513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3686754240 + ... + 3686781437.

It is an arithmetic number, because the mean of its divisors is an integer number (12077851440564).

Almost surely, 2^{100272711671523} is an apocalyptic number.

100272711671523 is a deficient number, since it is larger than the sum of its proper divisors (44661505615245).

100272711671523 is a wasteful number, since it uses less digits than its factorization.

100272711671523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7373537194 (or 7373537191 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 100272711671523 in words is "one hundred trillion, two hundred seventy-two billion, seven hundred eleven million, six hundred seventy-one thousand, five hundred twenty-three".