100272047546167 has 16 divisors (see below), whose sum is σ = 117264972464640. Its totient is φ = 83946322105632.

The previous prime is 100272047546161. The next prime is 100272047546171. The reversal of 100272047546167 is 761645740272001.

It is not a de Polignac number, because 100272047546167 - 2⁷ = 100272047546039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272047546161) 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, 6025134 + ... + 15389812.

It is an arithmetic number, because the mean of its divisors is an integer number (7329060779040).

Almost surely, 2^{100272047546167} is an apocalyptic number.

100272047546167 is a deficient number, since it is larger than the sum of its proper divisors (16992924918473).

100272047546167 is an equidigital number, since it uses as much as digits as its factorization.

100272047546167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400302.

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 100272047546167 in words is "one hundred trillion, two hundred seventy-two billion, forty-seven million, five hundred forty-six thousand, one hundred sixty-seven".