100112011112 has 8 divisors (see below), whose sum is σ = 187710020850. Its totient is φ = 50056005552.

The previous prime is 100112011099. The next prime is 100112011117. The reversal of 100112011112 is 211110211001.

100112011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87418383556 + 12693627556 = 295666^2 + 112666^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×100112011112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112011093 and 100112011102.

It is not an unprimeable number, because it can be changed into a prime (100112011117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6257000687 + ... + 6257000702.

Almost surely, 2^100112011112 is an apocalyptic number.

It is an amenable number.

100112011112 is a deficient number, since it is larger than the sum of its proper divisors (87598009738).

100112011112 is a wasteful number, since it uses less digits than its factorization.

100112011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514001395 (or 12514001391 counting only the distinct ones).

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

Adding to 100112011112 its reverse (211110211001), we get a palindrome (311222222113).

The spelling of 100112011112 in words is "one hundred billion, one hundred twelve million, eleven thousand, one hundred twelve".