10100001112 has 32 divisors (see below), whose sum is σ = 18998064000. Its totient is φ = 5033881600.

The previous prime is 10100001103. The next prime is 10100001137. The reversal of 10100001112 is 21110000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100001095 and 10100001104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4208889 + ... + 4211287.

It is an arithmetic number, because the mean of its divisors is an integer number (593689500).

Almost surely, 2^10100001112 is an apocalyptic number.

It is an amenable number.

10100001112 is a deficient number, since it is larger than the sum of its proper divisors (8898062888).

10100001112 is a wasteful number, since it uses less digits than its factorization.

10100001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100001112 its reverse (21110000101), we get a palindrome (31210001213).

The spelling of 10100001112 in words is "ten billion, one hundred million, one thousand, one hundred twelve".