201117750196801 has 9 divisors (see below), whose sum is σ = 201226709685603. Its totient is φ = 201008849698080.

The previous prime is 201117750196787. The next prime is 201117750196841. The reversal of 201117750196801 is 108691057711102.

It is a happy number.

The square root of 201117750196801 is 14181599.

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., 184795503790401 + 16322246406400 = 13593951^2 + 4040080^2 .

It is not a de Polignac number, because 201117750196801 - 2¹³ = 201117750188609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201117750196841) 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, 43806957016 + ... + 43806961606.

Almost surely, 2^{201117750196801} is an apocalyptic number.

201117750196801 is the 14181599-th square number.

201117750196801 is the 7090800-th centered octagonal number.

It is an amenable number.

201117750196801 is a deficient number, since it is larger than the sum of its proper divisors (108959488802).

201117750196801 is an frugal number, since it uses more digits than its factorization.

201117750196801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 49.

The spelling of 201117750196801 in words is "two hundred one trillion, one hundred seventeen billion, seven hundred fifty million, one hundred ninety-six thousand, eight hundred one".