100101112112 has 40 divisors (see below), whose sum is σ = 198787889856. Its totient is φ = 48808705536.

The previous prime is 100101112109. The next prime is 100101112129. The reversal of 100101112112 is 211211101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101112093 and 100101112102.

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 7 ways as a sum of consecutive naturals, for example, 31973 + ... + 448580.

Almost surely, 2^100101112112 is an apocalyptic number.

It is an amenable number.

100101112112 is a deficient number, since it is larger than the sum of its proper divisors (98686777744).

100101112112 is a wasteful number, since it uses less digits than its factorization.

100101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480885 (or 480879 counting only the distinct ones).

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

Adding to 100101112112 its reverse (211211101001), we get a palindrome (311312213113).

The spelling of 100101112112 in words is "one hundred billion, one hundred one million, one hundred twelve thousand, one hundred twelve".