1001000010112 has 128 divisors (see below), whose sum is σ = 2186240868000. Its totient is φ = 454410141696.

The previous prime is 1001000010071. The next prime is 1001000010119. The reversal of 1001000010112 is 2110100001001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1001000010095 and 1001000010104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000010119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77548363 + ... + 77561269.

Almost surely, 2^{1001000010112} 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 1001000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093120434000).

1001000010112 is an abundant number, since it is smaller than the sum of its proper divisors (1185240857888).

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

1001000010112 is a wasteful number, since it uses less digits than its factorization.

1001000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14184 counting only the distinct ones).

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

Adding to 1001000010112 its reverse (2110100001001), we get a palindrome (3111100011113).

The spelling of 1001000010112 in words is "one trillion, one billion, ten thousand, one hundred twelve".