1000110000112 has 160 divisors (see below), whose sum is σ = 2070047508480. Its totient is φ = 467242352640.

The previous prime is 1000110000091. The next prime is 1000110000139. The reversal of 1000110000112 is 2110000110001.

It is a junction number, because it is equal to n+sod(n) for n = 1000110000095 and 1000110000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2309722648 + ... + 2309723080.

It is an arithmetic number, because the mean of its divisors is an integer number (12937796928).

Almost surely, 2^{1000110000112} 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 1000110000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035023754240).

1000110000112 is an abundant number, since it is smaller than the sum of its proper divisors (1069937508368).

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

1000110000112 is a wasteful number, since it uses less digits than its factorization.

1000110000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

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

Adding to 1000110000112 its reverse (2110000110001), we get a palindrome (3110110110113).

The spelling of 1000110000112 in words is "one trillion, one hundred ten million, one hundred twelve", and thus it is an aban number.