10201444410201 has 16 divisors (see below), whose sum is σ = 14985380092608. Its totient is φ = 6121478792000.

The previous prime is 10201444410163. The next prime is 10201444410217.

10201444410201 is nontrivially palindromic in base 10.

10201444410201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201444410201 - 2¹⁴ = 10201444393817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201444410601) 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, 1530366366 + ... + 1530373031.

It is an arithmetic number, because the mean of its divisors is an integer number (936586255788).

Almost surely, 2^{10201444410201} is an apocalyptic number.

10201444410201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201444410201 is a deficient number, since it is larger than the sum of its proper divisors (4783935682407).

10201444410201 is a wasteful number, since it uses less digits than its factorization.

10201444410201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060739512.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1020144 and 4410201, that added together give a palindrome (5430345).

The spelling of 10201444410201 in words is "ten trillion, two hundred one billion, four hundred forty-four million, four hundred ten thousand, two hundred one".