101111200112 has 80 divisors (see below), whose sum is σ = 216627384960. Its totient is φ = 45421209600.

The previous prime is 101111200087. The next prime is 101111200193. The reversal of 101111200112 is 211002111101.

It is a super-3 number, since 3×101111200112³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111200093 and 101111200102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661814 + ... + 3689322.

It is an arithmetic number, because the mean of its divisors is an integer number (2707842312).

Almost surely, 2^101111200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108313692480).

101111200112 is an abundant number, since it is smaller than the sum of its proper divisors (115516184848).

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

101111200112 is a wasteful number, since it uses less digits than its factorization.

101111200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28002 (or 27996 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111200112 its reverse (211002111101), we get a palindrome (312113311213).

The spelling of 101111200112 in words is "one hundred one billion, one hundred eleven million, two hundred thousand, one hundred twelve".