101112008 has 16 divisors (see below), whose sum is σ = 192183180. Its totient is φ = 49863168.

The previous prime is 101111917. The next prime is 101112013. The reversal of 101112008 is 800211101.

It can be written as a sum of positive squares in 2 ways, for example, as 85414564 + 15697444 = 9242^2 + 3962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101111983 and 101112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85985 + ... + 87152.

Almost surely, 2^101112008 is an apocalyptic number.

It is an amenable number.

101112008 is a deficient number, since it is larger than the sum of its proper divisors (91071172).

101112008 is a wasteful number, since it uses less digits than its factorization.

101112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173216 (or 173212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 101112008 is about 10055.4466832657. The cubic root of 101112008 is about 465.8730397622.

Adding to 101112008 its reverse (800211101), we get a palindrome (901323109).

The spelling of 101112008 in words is "one hundred one million, one hundred twelve thousand, eight".