10101000112 has 80 divisors (see below), whose sum is σ = 22884820992. Its totient is φ = 4229026560.

The previous prime is 10101000059. The next prime is 10101000127. The reversal of 10101000112 is 21100010101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10101000095 and 10101000104.

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 15 ways as a sum of consecutive naturals, for example, 3478053 + ... + 3480955.

Almost surely, 2^10101000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442410496).

10101000112 is an abundant number, since it is smaller than the sum of its proper divisors (12783820880).

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

10101000112 is a wasteful number, since it uses less digits than its factorization.

10101000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3620 counting only the distinct ones).

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

Adding to 10101000112 its reverse (21100010101), we get a palindrome (31201010213).

The spelling of 10101000112 in words is "ten billion, one hundred one million, one hundred twelve", and thus it is an aban number.