101222112 has 48 divisors (see below), whose sum is σ = 272199312. Its totient is φ = 32916480.

The previous prime is 101222083. The next prime is 101222113. The reversal of 101222112 is 211222101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8923 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (5670819).

Almost surely, 2^101222112 is an apocalyptic number.

101222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222112 is an abundant number, since it is smaller than the sum of its proper divisors (170977200).

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

101222112 is a wasteful number, since it uses less digits than its factorization.

101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25771 (or 25763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101222112 is about 10060.9200374518. The cubic root of 101222112 is about 466.0420796179.

Adding to 101222112 its reverse (211222101), we get a palindrome (312444213).

The spelling of 101222112 in words is "one hundred one million, two hundred twenty-two thousand, one hundred twelve".