101112456 has 16 divisors (see below), whose sum is σ = 252781200. Its totient is φ = 33704144.

The previous prime is 101112409. The next prime is 101112461. The reversal of 101112456 is 654211101.

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, 2106486 + ... + 2106533.

It is an arithmetic number, because the mean of its divisors is an integer number (15798825).

Almost surely, 2^101112456 is an apocalyptic number.

It is an amenable number.

101112456 is an abundant number, since it is smaller than the sum of its proper divisors (151668744).

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

101112456 is a wasteful number, since it uses less digits than its factorization.

101112456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213028 (or 4213024 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101112456 is about 10055.4689597253. The cubic root of 101112456 is about 465.8737278138.

Adding to 101112456 its reverse (654211101), we get a palindrome (755323557).

The spelling of 101112456 in words is "one hundred one million, one hundred twelve thousand, four hundred fifty-six".