101000112 has 20 divisors (see below), whose sum is σ = 260917080. Its totient is φ = 33666688.

The previous prime is 101000093. The next prime is 101000113. The reversal of 101000112 is 211000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101000112.

It is not an unprimeable number, because it can be changed into a prime (101000113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052037 + ... + 1052132.

It is an arithmetic number, because the mean of its divisors is an integer number (13045854).

Almost surely, 2^101000112 is an apocalyptic number.

101000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000112 is an abundant number, since it is smaller than the sum of its proper divisors (159916968).

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

101000112 is a wasteful number, since it uses less digits than its factorization.

101000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104180 (or 2104174 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101000112 is about 10049.8811933276. The cubic root of 101000112 is about 465.7011229206.

Adding to 101000112 its reverse (211000101), we get a palindrome (312000213).

The spelling of 101000112 in words is "one hundred one million, one hundred twelve", and thus it is an aban number.