10005532600201 has 16 divisors (see below), whose sum is σ = 10193663531520. Its totient is φ = 9819110414080.

The previous prime is 10005532600187. The next prime is 10005532600211. The reversal of 10005532600201 is 10200623550001.

It is a cyclic number.

It is not a de Polignac number, because 10005532600201 - 2⁵ = 10005532600169 is a prime.

It is a super-2 number, since 2×10005532600201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005532600211) 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, 69562380 + ... + 69706066.

It is an arithmetic number, because the mean of its divisors is an integer number (637103970720).

Almost surely, 2^{10005532600201} is an apocalyptic number.

It is an amenable number.

10005532600201 is a deficient number, since it is larger than the sum of its proper divisors (188130931319).

10005532600201 is a wasteful number, since it uses less digits than its factorization.

10005532600201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149624.

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 10005532600201 in words is "ten trillion, five billion, five hundred thirty-two million, six hundred thousand, two hundred one".