1000000010112 has 128 divisors (see below), whose sum is σ = 2674895646240. Its totient is φ = 330996277248.

The previous prime is 1000000010069. The next prime is 1000000010117. The reversal of 1000000010112 is 2110100000001.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1000000010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000010117) 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, 113156158 + ... + 113164994.

Almost surely, 2^{1000000010112} is an apocalyptic number.

1000000010112 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 1000000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337447823120).

1000000010112 is an abundant number, since it is smaller than the sum of its proper divisors (1674895636128).

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

1000000010112 is a wasteful number, since it uses less digits than its factorization.

1000000010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000000010112 its reverse (2110100000001), we get a palindrome (3110100010113).

The spelling of 1000000010112 in words is "one trillion, ten thousand, one hundred twelve".