100111021112 has 64 divisors (see below), whose sum is σ = 192548469600. Its totient is φ = 48781025280.

The previous prime is 100111021111. The next prime is 100111021117. The reversal of 100111021112 is 211120111001.

100111021112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100111021093 and 100111021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111021111) by changing a digit.

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, 38606888 + ... + 38609480.

Almost surely, 2^100111021112 is an apocalyptic number.

It is an amenable number.

100111021112 is a deficient number, since it is larger than the sum of its proper divisors (92437448488).

100111021112 is a wasteful number, since it uses less digits than its factorization.

100111021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3332 counting only the distinct ones).

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

Adding to 100111021112 its reverse (211120111001), we get a palindrome (311231132113).

The spelling of 100111021112 in words is "one hundred billion, one hundred eleven million, twenty-one thousand, one hundred twelve".