200001101441 has 32 divisors (see below), whose sum is σ = 217587386016. Its totient is φ = 183140352000.

The previous prime is 200001101437. The next prime is 200001101453. The reversal of 200001101441 is 144101100002.

It can be written as a sum of positive squares in 16 ways, for example, as 164453769841 + 35547331600 = 405529^2 + 188540^2 .

It is a cyclic number.

It is not a de Polignac number, because 200001101441 - 2² = 200001101437 is a prime.

It is a super-2 number, since 2×200001101441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200001101491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36222761 + ... + 36228281.

It is an arithmetic number, because the mean of its divisors is an integer number (6799605813).

Almost surely, 2^200001101441 is an apocalyptic number.

It is an amenable number.

200001101441 is a deficient number, since it is larger than the sum of its proper divisors (17586284575).

200001101441 is a wasteful number, since it uses less digits than its factorization.

200001101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200001101441 its reverse (144101100002), we get a palindrome (344102201443).

The spelling of 200001101441 in words is "two hundred billion, one million, one hundred one thousand, four hundred forty-one".