100112201112 has 256 divisors, whose sum is σ = 320503910400. Its totient is φ = 25306560000.

The previous prime is 100112201107. The next prime is 100112201117. The reversal of 100112201112 is 211102211001.

It is an interprime number because it is at equal distance from previous prime (100112201107) and next prime (100112201117).

It is a super-2 number, since 2×100112201112² (a number of 23 digits) contains 22 as substring.

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 (100112201117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11007687 + ... + 11016777.

It is an arithmetic number, because the mean of its divisors is an integer number (1251968400).

Almost surely, 2^100112201112 is an apocalyptic number.

100112201112 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 100112201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160251955200).

100112201112 is an abundant number, since it is smaller than the sum of its proper divisors (220391709288).

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

100112201112 is a wasteful number, since it uses less digits than its factorization.

100112201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112201112 its reverse (211102211001), we get a palindrome (311214412113).

The spelling of 100112201112 in words is "one hundred billion, one hundred twelve million, two hundred one thousand, one hundred twelve".