10201012000113 has 64 divisors (see below), whose sum is σ = 15844170424320. Its totient is φ = 5773037184000.

The previous prime is 10201012000087. The next prime is 10201012000163. The reversal of 10201012000113 is 31100021010201.

10201012000113 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 10201012000113 - 2¹⁰ = 10201011999089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201012000163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13760745 + ... + 14483097.

It is an arithmetic number, because the mean of its divisors is an integer number (247565162880).

Almost surely, 2^{10201012000113} is an apocalyptic number.

It is an amenable number.

10201012000113 is a deficient number, since it is larger than the sum of its proper divisors (5643158424207).

10201012000113 is a wasteful number, since it uses less digits than its factorization.

10201012000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722710.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10201012000113 its reverse (31100021010201), we get a palindrome (41301033010314).

The spelling of 10201012000113 in words is "ten trillion, two hundred one billion, twelve million, one hundred thirteen", and thus it is an aban number.