101112220211112 has 160 divisors (see below), whose sum is σ = 308977870481280. Its totient is φ = 30637700029440.

The previous prime is 101112220211021. The next prime is 101112220211131. The reversal of 101112220211112 is 211112022211101.

It is a happy number.

101112220211112 is a `hidden beast` number, since 10 + 1 + 112 + 220 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92856888 + ... + 93939480.

It is an arithmetic number, because the mean of its divisors is an integer number (1931111690508).

Almost surely, 2^{101112220211112} is an apocalyptic number.

101112220211112 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 101112220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154488935240640).

101112220211112 is an abundant number, since it is smaller than the sum of its proper divisors (207865650270168).

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

101112220211112 is a wasteful number, since it uses less digits than its factorization.

101112220211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095725 (or 1095712 counting only the distinct ones).

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

Adding to 101112220211112 its reverse (211112022211101), we get a palindrome (312224242422213).

The spelling of 101112220211112 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".