201126237841 has 9 divisors (see below), whose sum is σ = 203451850171. Its totient is φ = 198826927024.

The previous prime is 201126237827. The next prime is 201126237847. The reversal of 201126237841 is 148732621102.

The square root of 201126237841 is 448471.

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

201126237841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38620503441 + 162505734400 = 196521^2 + 403120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201126237841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201126237841.

It is not an unprimeable number, because it can be changed into a prime (201126237847) 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, 39911400 + ... + 39916438.

Almost surely, 2^201126237841 is an apocalyptic number.

201126237841 is the 448471-st square number.

201126237841 is the 224236-th centered octagonal number.

It is an amenable number.

201126237841 is a deficient number, since it is larger than the sum of its proper divisors (2325612330).

201126237841 is an frugal number, since it uses more digits than its factorization.

201126237841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 201126237841 its reverse (148732621102), we get a palindrome (349858858943).

The spelling of 201126237841 in words is "two hundred one billion, one hundred twenty-six million, two hundred thirty-seven thousand, eight hundred forty-one".