101165344225 has 27 divisors (see below), whose sum is σ = 137909703379. Its totient is φ = 73562073200.

The previous prime is 101165344199. The next prime is 101165344277. The reversal of 101165344225 is 522443561101.

The square root of 101165344225 is 318065.

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., 36419523921 + 64745820304 = 190839^2 + 254452^2 .

It is not a de Polignac number, because 101165344225 - 2⁵ = 101165344193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17490684 + ... + 17496466.

Almost surely, 2^101165344225 is an apocalyptic number.

101165344225 is the 318065-th square number.

101165344225 is the 159033-rd centered octagonal number.

It is an amenable number.

101165344225 is a deficient number, since it is larger than the sum of its proper divisors (36744359154).

101165344225 is an frugal number, since it uses more digits than its factorization.

101165344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11598 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 101165344225 in words is "one hundred one billion, one hundred sixty-five million, three hundred forty-four thousand, two hundred twenty-five".