1000010112 has 64 divisors (see below), whose sum is σ = 2659902960. Its totient is φ = 332881920.

The previous prime is 1000010101. The next prime is 1000010153. The reversal of 1000010112 is 2110100001.

1000010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 1000010112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395412 + ... + 397932.

Almost surely, 2^1000010112 is an apocalyptic number.

1000010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000010112 is an abundant number, since it is smaller than the sum of its proper divisors (1659892848).

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

1000010112 is a wasteful number, since it uses less digits than its factorization.

1000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3559 counting only the distinct ones).

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

The square root of 1000010112 is about 31622.9364860381. The cubic root of 1000010112 is about 1000.0033706553.

Adding to 1000010112 its reverse (2110100001), we get a palindrome (3110110113).

The spelling of 1000010112 in words is "one billion, ten thousand, one hundred twelve".