112101011122212 has 216 divisors, whose sum is σ = 349451872562520. Its totient is φ = 30107541381120.

The previous prime is 112101011122211. The next prime is 112101011122271. The reversal of 112101011122212 is 212221110101211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86911914894336 + 25189096227876 = 9322656^2 + 5018874^2 .

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 (112101011122211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21949912 + ... + 26570672.

It is an arithmetic number, because the mean of its divisors is an integer number (1617832743345).

Almost surely, 2^{112101011122212} is an apocalyptic number.

112101011122212 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 112101011122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174725936281260).

112101011122212 is an abundant number, since it is smaller than the sum of its proper divisors (237350861440308).

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

112101011122212 is a wasteful number, since it uses less digits than its factorization.

112101011122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621611 (or 4621599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112101011122212 its reverse (212221110101211), we get a palindrome (324322121223423).

The spelling of 112101011122212 in words is "one hundred twelve trillion, one hundred one billion, eleven million, one hundred twenty-two thousand, two hundred twelve".