10100000112 has 60 divisors (see below), whose sum is σ = 26816080536. Its totient is φ = 3275654400.

The previous prime is 10100000111. The next prime is 10100000129. The reversal of 10100000112 is 21100000101.

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 10100000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11139 + ... + 142562.

Almost surely, 2^10100000112 is an apocalyptic number.

10100000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408040268).

10100000112 is an abundant number, since it is smaller than the sum of its proper divisors (16716080424).

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

10100000112 is a wasteful number, since it uses less digits than its factorization.

10100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153786 (or 153743 counting only the distinct ones).

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

Adding to 10100000112 its reverse (21100000101), we get a palindrome (31200000213).

The spelling of 10100000112 in words is "ten billion, one hundred million, one hundred twelve", and thus it is an aban number.