10112120221113 has 24 divisors (see below), whose sum is σ = 14784669345888. Its totient is φ = 6659490385152.

The previous prime is 10112120221069. The next prime is 10112120221153. The reversal of 10112120221113 is 31112202121101.

It is a happy number.

It is not a de Polignac number, because 10112120221113 - 2⁴⁰ = 9012608593337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10112120221153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14533495 + ... + 15213372.

It is an arithmetic number, because the mean of its divisors is an integer number (616027889412).

Almost surely, 2^{10112120221113} is an apocalyptic number.

It is an amenable number.

10112120221113 is a deficient number, since it is larger than the sum of its proper divisors (4672549124775).

10112120221113 is a wasteful number, since it uses less digits than its factorization.

10112120221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29747333 (or 29747330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10112120221113 its reverse (31112202121101), we get a palindrome (41224322342214).

It can be divided in two parts, 10112 and 120221113, that added together give a square (120231225 = 10965²).

The spelling of 10112120221113 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".