101023322112 has 312 divisors, whose sum is σ = 302030084928. Its totient is φ = 32514048000.

The previous prime is 101023322111. The next prime is 101023322117. The reversal of 101023322112 is 211223320101.

It is a super-2 number, since 2×101023322112² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101023322111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160100037 + ... + 160100667.

It is an arithmetic number, because the mean of its divisors is an integer number (968045144).

Almost surely, 2^101023322112 is an apocalyptic number.

101023322112 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 101023322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151015042464).

101023322112 is an abundant number, since it is smaller than the sum of its proper divisors (201006762816).

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

101023322112 is a wasteful number, since it uses less digits than its factorization.

101023322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101023322112 its reverse (211223320101), we get a palindrome (312246642213).

The spelling of 101023322112 in words is "one hundred one billion, twenty-three million, three hundred twenty-two thousand, one hundred twelve".