1000001101112 has 96 divisors (see below), whose sum is σ = 2147545461600. Its totient is φ = 433139486208.

The previous prime is 1000001101097. The next prime is 1000001101117. The reversal of 1000001101112 is 2111011000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1000001101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001101117) 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, 6644714 + ... + 6793542.

It is an arithmetic number, because the mean of its divisors is an integer number (22370265225).

Almost surely, 2^{1000001101112} 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 1000001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073772730800).

1000001101112 is an abundant number, since it is smaller than the sum of its proper divisors (1147544360488).

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

1000001101112 is a wasteful number, since it uses less digits than its factorization.

1000001101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148977 (or 148920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000001101112 its reverse (2111011000001), we get a palindrome (3111012101113).

The spelling of 1000001101112 in words is "one trillion, one million, one hundred one thousand, one hundred twelve".