1000111010112 has 168 divisors, whose sum is σ = 2960222659680. Its totient is φ = 322629350400.

The previous prime is 1000111010051. The next prime is 1000111010117. The reversal of 1000111010112 is 2110101110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000111010094 and 1000111010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111010117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514487 + ... + 2884937.

Almost surely, 2^{1000111010112} is an apocalyptic number.

1000111010112 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 1000111010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480111329840).

1000111010112 is an abundant number, since it is smaller than the sum of its proper divisors (1960111649568).

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

1000111010112 is a wasteful number, since it uses less digits than its factorization.

1000111010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370621 (or 370608 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1000111010112 its reverse (2110101110001), we get a palindrome (3110212120113).

The spelling of 1000111010112 in words is "one trillion, one hundred eleven million, ten thousand, one hundred twelve".