101112123112 has 128 divisors (see below), whose sum is σ = 255264307200. Its totient is φ = 36261676800.

The previous prime is 101112123109. The next prime is 101112123127. The reversal of 101112123112 is 211321211101.

It is a happy number.

It is a super-2 number, since 2×101112123112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857287 + ... + 2892457.

It is an arithmetic number, because the mean of its divisors is an integer number (1994252400).

Almost surely, 2^101112123112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127632153600).

101112123112 is an abundant number, since it is smaller than the sum of its proper divisors (154152184088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101112123112 is a wasteful number, since it uses less digits than its factorization.

101112123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35567 (or 35563 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101112123112 its reverse (211321211101), we get a palindrome (312433334213).

The spelling of 101112123112 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-three thousand, one hundred twelve".