100445274573121 has 9 divisors (see below), whose sum is σ = 102119534126883. Its totient is φ = 98798029393320.

The previous prime is 100445274573073. The next prime is 100445274573197. The reversal of 100445274573121 is 121375472544001.

The square root of 100445274573121 is 10022239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3266293529521 + 97178981043600 = 1807289^2 + 9857940^2 .

It is not a de Polignac number, because 100445274573121 - 2¹¹ = 100445274571073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100445274574121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611274430 + ... + 611438728.

It is an arithmetic number, because the mean of its divisors is an integer number (11346614902987).

Almost surely, 2^{100445274573121} is an apocalyptic number.

100445274573121 is the 10022239-th square number.

100445274573121 is the 5011120-th centered octagonal number.

It is an amenable number.

100445274573121 is a deficient number, since it is larger than the sum of its proper divisors (1674259553762).

100445274573121 is an frugal number, since it uses more digits than its factorization.

100445274573121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328720 (or 164360 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 100445274573121 in words is "one hundred trillion, four hundred forty-five billion, two hundred seventy-four million, five hundred seventy-three thousand, one hundred twenty-one".