10121042113 has 16 divisors (see below), whose sum is σ = 13112283520. Its totient is φ = 7586390016.

The previous prime is 10121042101. The next prime is 10121042143. The reversal of 10121042113 is 31124012101.

10121042113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121042113 - 2⁵ = 10121042081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121042143) 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, 2925120 + ... + 2928577.

It is an arithmetic number, because the mean of its divisors is an integer number (819517720).

Almost surely, 2^10121042113 is an apocalyptic number.

10121042113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10121042113 is a deficient number, since it is larger than the sum of its proper divisors (2991241407).

10121042113 is a wasteful number, since it uses less digits than its factorization.

10121042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853736.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121042113 its reverse (31124012101), we get a palindrome (41245054214).

The spelling of 10121042113 in words is "ten billion, one hundred twenty-one million, forty-two thousand, one hundred thirteen".