101213112 has 192 divisors, whose sum is σ = 343203840. Its totient is φ = 24203520.

The previous prime is 101213111. The next prime is 101213129. The reversal of 101213112 is 211312101.

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 (101213111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264073 + ... + 264455.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^101213112 is an apocalyptic number.

101213112 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 101213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

101213112 is an abundant number, since it is smaller than the sum of its proper divisors (241990728).

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

101213112 is a wasteful number, since it uses less digits than its factorization.

101213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

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

The square root of 101213112 is about 10060.4727523114. The cubic root of 101213112 is about 466.0282667498.

Adding to 101213112 its reverse (211312101), we get a palindrome (312525213).

The spelling of 101213112 in words is "one hundred one million, two hundred thirteen thousand, one hundred twelve".