101311322112 has 1728 divisors, whose sum is σ = 439303737600. Its totient is φ = 21658337280.

The previous prime is 101311322111. The next prime is 101311322141. The reversal of 101311322112 is 211223113101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311322111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5332174839 + ... + 5332174857.

It is an arithmetic number, because the mean of its divisors is an integer number (254226700).

Almost surely, 2^101311322112 is an apocalyptic number.

101311322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219651868800).

101311322112 is an abundant number, since it is smaller than the sum of its proper divisors (337992415488).

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

101311322112 is a wasteful number, since it uses less digits than its factorization.

101311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101311322112 its reverse (211223113101), we get a palindrome (312534435213).

The spelling of 101311322112 in words is "one hundred one billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".