10201012012113 has 32 divisors (see below), whose sum is σ = 14988658105344. Its totient is φ = 6131389061952.

The previous prime is 10201012012097. The next prime is 10201012012141. The reversal of 10201012012113 is 31121021010201.

It is not a de Polignac number, because 10201012012113 - 2⁴ = 10201012012097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201012012092 and 10201012012101.

It is not an unprimeable number, because it can be changed into a prime (10201012017113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91479970 + ... + 91591412.

It is an arithmetic number, because the mean of its divisors is an integer number (468395565792).

Almost surely, 2^{10201012012113} is an apocalyptic number.

10201012012113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10201012012113 is a deficient number, since it is larger than the sum of its proper divisors (4787646093231).

10201012012113 is a wasteful number, since it uses less digits than its factorization.

10201012012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166085.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10201012012113 its reverse (31121021010201), we get a palindrome (41322033022314).

The spelling of 10201012012113 in words is "ten trillion, two hundred one billion, twelve million, twelve thousand, one hundred thirteen".