101120222112 has 192 divisors, whose sum is σ = 335526799104. Its totient is φ = 25948200960.

The previous prime is 101120222111. The next prime is 101120222113. The reversal of 101120222112 is 211222021101.

It is an interprime number because it is at equal distance from previous prime (101120222111) and next prime (101120222113).

It is a junction number, because it is equal to n+sod(n) for n = 101120222091 and 101120222100.

It is not an unprimeable number, because it can be changed into a prime (101120222111) by changing a digit.

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, 166812 + ... + 479652.

It is an arithmetic number, because the mean of its divisors is an integer number (1747535412).

Almost surely, 2^101120222112 is an apocalyptic number.

101120222112 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 101120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763399552).

101120222112 is an abundant number, since it is smaller than the sum of its proper divisors (234406576992).

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

101120222112 is a wasteful number, since it uses less digits than its factorization.

101120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312911 (or 312903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120222112 its reverse (211222021101), we get a palindrome (312342243213).

The spelling of 101120222112 in words is "one hundred one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".