10209616172001 has 81 divisors (see below), whose sum is σ = 16127792342649. Its totient is φ = 6222606836544.

The previous prime is 10209616171981. The next prime is 10209616172027. The reversal of 10209616172001 is 10027161690201.

The square root of 10209616172001 is 3195249.

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

10209616172001 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 616 + 17 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441340992225 + 9768275179776 = 664335^2 + 3125424^2 .

It is not a de Polignac number, because 10209616172001 - 2¹⁹ = 10209615647713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10209616172051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5281745631 + ... + 5281747563.

Almost surely, 2^{10209616172001} is an apocalyptic number.

10209616172001 is the 3195249-th square number.

10209616172001 is the 1597625-th centered octagonal number.

It is an amenable number.

10209616172001 is a deficient number, since it is larger than the sum of its proper divisors (5918176170648).

10209616172001 is an frugal number, since it uses more digits than its factorization.

10209616172001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 10209616172001 by its sum of digits (36), we get a square (367546182192036 = 19171494²).

The spelling of 10209616172001 in words is "ten trillion, two hundred nine billion, six hundred sixteen million, one hundred seventy-two thousand, one".