10110122120011 has 32 divisors (see below), whose sum is σ = 11292192737280. Its totient is φ = 9002556609024.

The previous prime is 10110122119991. The next prime is 10110122120027. The reversal of 10110122120011 is 11002122101101.

It is a happy number.

It is not a de Polignac number, because 10110122120011 - 2²⁷ = 10109987902283 is a prime.

It is a super-3 number, since 3×10110122120011³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10110122119973 and 10110122120000.

It is not an unprimeable number, because it can be changed into a prime (10110122120611) 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 31 ways as a sum of consecutive naturals, for example, 33639441 + ... + 33938653.

It is an arithmetic number, because the mean of its divisors is an integer number (352881023040).

Almost surely, 2^{10110122120011} is an apocalyptic number.

10110122120011 is a deficient number, since it is larger than the sum of its proper divisors (1182070617269).

10110122120011 is a wasteful number, since it uses less digits than its factorization.

10110122120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300195.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10110122120011 its reverse (11002122101101), we get a palindrome (21112244221112).

The spelling of 10110122120011 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, eleven".