10110122120013 has 16 divisors (see below), whose sum is σ = 14191079025600. Its totient is φ = 6384695011200.

The previous prime is 10110122119991. The next prime is 10110122120027. The reversal of 10110122120013 is 31002122101101.

It is not a de Polignac number, because 10110122120013 - 2¹⁴ = 10110122103629 is a prime.

It is a super-3 number, since 3×10110122120013³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110122119974 and 10110122120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110122121013) 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 15 ways as a sum of consecutive naturals, for example, 8392848 + ... + 9521561.

It is an arithmetic number, because the mean of its divisors is an integer number (886942439100).

Almost surely, 2^{10110122120013} is an apocalyptic number.

It is an amenable number.

10110122120013 is a deficient number, since it is larger than the sum of its proper divisors (4080956905587).

10110122120013 is a wasteful number, since it uses less digits than its factorization.

10110122120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924332.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10110122120013 its reverse (31002122101101), we get a palindrome (41112244221114).

The spelling of 10110122120013 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".