10122101110313 has 4 divisors (see below), whose sum is σ = 10122111286980. Its totient is φ = 10122090933648.

The previous prime is 10122101110271. The next prime is 10122101110321. The reversal of 10122101110313 is 31301110122101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 545719057984 + 9576382052329 = 738728^2 + 3094573^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122101110313 - 2²⁰ = 10122100061737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122101110291 and 10122101110300.

It is not an unprimeable number, because it can be changed into a prime (10122101110333) 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 3 ways as a sum of consecutive naturals, for example, 3412370 + ... + 5646987.

It is an arithmetic number, because the mean of its divisors is an integer number (2530527821745).

Almost surely, 2^{10122101110313} is an apocalyptic number.

It is an amenable number.

10122101110313 is a deficient number, since it is larger than the sum of its proper divisors (10176667).

10122101110313 is an equidigital number, since it uses as much as digits as its factorization.

10122101110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176666.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10122101110313 its reverse (31301110122101), we get a palindrome (41423211232414).

The spelling of 10122101110313 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, three hundred thirteen".