10122111112113 has 96 divisors (see below), whose sum is σ = 19632193701120. Its totient is φ = 4853405329920.

The previous prime is 10122111112097. The next prime is 10122111112123. The reversal of 10122111112113 is 31121111122101.

It is not a de Polignac number, because 10122111112113 - 2⁴ = 10122111112097 is a prime.

It is a super-2 number, since 2×10122111112113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122111112123) 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 95 ways as a sum of consecutive naturals, for example, 156625195 + ... + 156689807.

It is an arithmetic number, because the mean of its divisors is an integer number (204502017720).

Almost surely, 2^{10122111112113} is an apocalyptic number.

10122111112113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122111112113 is a deficient number, since it is larger than the sum of its proper divisors (9510082589007).

10122111112113 is a wasteful number, since it uses less digits than its factorization.

10122111112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82039 (or 82036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 10122111112113 its reverse (31121111122101), we get a palindrome (41243222234214).

The spelling of 10122111112113 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, one hundred thirteen".