101428873441 has 9 divisors (see below), whose sum is σ = 117991282899. Its totient is φ = 86937123504.

The previous prime is 101428873417. The next prime is 101428873451. The reversal of 101428873441 is 144378824101.

The square root of 101428873441 is 318479.

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., 16924709025 + 84504164416 = 130095^2 + 290696^2 .

It is not a de Polignac number, because 101428873441 - 2⁵ = 101428873409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101428873451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2206605 + ... + 2252101.

Almost surely, 2^101428873441 is an apocalyptic number.

101428873441 is the 318479-th square number.

101428873441 is the 159240-th centered octagonal number.

It is an amenable number.

101428873441 is a deficient number, since it is larger than the sum of its proper divisors (16562409458).

101428873441 is an frugal number, since it uses more digits than its factorization.

101428873441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91008 (or 45504 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 101428873441 in words is "one hundred one billion, four hundred twenty-eight million, eight hundred seventy-three thousand, four hundred forty-one".