10121112114 has 32 divisors (see below), whose sum is σ = 21156145920. Its totient is φ = 3223782912.

The previous prime is 10121112103. The next prime is 10121112137. The reversal of 10121112114 is 41121112101.

It is a happy number.

10121112114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10121112093 and 10121112102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282954 + ... + 316709.

It is an arithmetic number, because the mean of its divisors is an integer number (661129560).

Almost surely, 2^10121112114 is an apocalyptic number.

10121112114 is an abundant number, since it is smaller than the sum of its proper divisors (11035033806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121112114 is a wasteful number, since it uses less digits than its factorization.

10121112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599794.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121112114 its reverse (41121112101), we get a palindrome (51242224215).

The spelling of 10121112114 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred fourteen".