101122112 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 39370752.

The previous prime is 101122081. The next prime is 101122117. The reversal of 101122112 is 211221101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 101122093 and 101122102.

It is not an unprimeable number, because it can be changed into a prime (101122117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564839 + ... + 565017.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^101122112 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 101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

101122112 is an abundant number, since it is smaller than the sum of its proper divisors (149789248).

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

101122112 is a wasteful number, since it uses less digits than its factorization.

101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101122112 is about 10055.9490849944. The cubic root of 101122112 is about 465.8885572875. Note that the first 3 decimals are identical.

Adding to 101122112 its reverse (211221101), we get a palindrome (312343213).

The spelling of 101122112 in words is "one hundred one million, one hundred twenty-two thousand, one hundred twelve".