201085988006401 has 16 divisors (see below), whose sum is σ = 203826828440016. Its totient is φ = 198361094400000.

The previous prime is 201085988006377. The next prime is 201085988006437. The reversal of 201085988006401 is 104600889580102.

It is a happy number.

201085988006401 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 8 ways, for example, as 25790400480625 + 175295587525776 = 5078425^2 + 13239924^2 .

It is a cyclic number.

It is not a de Polignac number, because 201085988006401 - 2¹⁷ = 201085987875329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201085988004401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29251321 + ... + 35465641.

It is an arithmetic number, because the mean of its divisors is an integer number (12739176777501).

Almost surely, 2^{201085988006401} is an apocalyptic number.

It is an amenable number.

201085988006401 is a deficient number, since it is larger than the sum of its proper divisors (2740840433615).

201085988006401 is a wasteful number, since it uses less digits than its factorization.

201085988006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215604.

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 201085988006401 in words is "two hundred one trillion, eighty-five billion, nine hundred eighty-eight million, six thousand, four hundred one".