101110122112 has 32 divisors (see below), whose sum is σ = 201588384420. Its totient is φ = 50515390464.

The previous prime is 101110122103. The next prime is 101110122119. The reversal of 101110122112 is 211221011101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97179333696 + 3930788416 = 311736^2 + 62696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 101110122092 and 101110122101.

It is not an unprimeable number, because it can be changed into a prime (101110122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145833 + ... + 472744.

Almost surely, 2^101110122112 is an apocalyptic number.

It is an amenable number.

101110122112 is a deficient number, since it is larger than the sum of its proper divisors (100478262308).

101110122112 is an equidigital number, since it uses as much as digits as its factorization.

101110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619868 (or 619856 counting only the distinct ones).

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

Adding to 101110122112 its reverse (211221011101), we get a palindrome (312331133213).

The spelling of 101110122112 in words is "one hundred one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".