10032121113201 has 48 divisors (see below), whose sum is σ = 16709248121280. Its totient is φ = 5736168576000.

The previous prime is 10032121113199. The next prime is 10032121113233. The reversal of 10032121113201 is 10231112123001.

10032121113201 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 21 + 1 + 1 + 320 + 1 = 666.

10032121113201 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 10032121113201 - 2¹ = 10032121113199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032121103201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10611820 + ... + 11518461.

It is an arithmetic number, because the mean of its divisors is an integer number (348109335860).

Almost surely, 2^{10032121113201} is an apocalyptic number.

10032121113201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032121113201 is a deficient number, since it is larger than the sum of its proper divisors (6677127008079).

10032121113201 is a wasteful number, since it uses less digits than its factorization.

10032121113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22130558 (or 22130555 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10032121113201 its reverse (10231112123001), we get a palindrome (20263233236202).

The spelling of 10032121113201 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred one".