1001101001112 has 128 divisors (see below), whose sum is σ = 2822629656000. Its totient is φ = 328697118720.

The previous prime is 1001101001101. The next prime is 1001101001123. The reversal of 1001101001112 is 2111001011001.

It is an interprime number because it is at equal distance from previous prime (1001101001101) and next prime (1001101001123).

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 = 1001101001094 and 1001101001103.

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, 12084312 + ... + 12166872.

Almost surely, 2^{1001101001112} is an apocalyptic number.

1001101001112 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 1001101001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411314828000).

1001101001112 is an abundant number, since it is smaller than the sum of its proper divisors (1821528654888).

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

1001101001112 is a wasteful number, since it uses less digits than its factorization.

1001101001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83418 (or 83408 counting only the distinct ones).

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

Adding to 1001101001112 its reverse (2111001011001), we get a palindrome (3112102012113).

The spelling of 1001101001112 in words is "one trillion, one billion, one hundred one million, one thousand, one hundred twelve".