1010003112 has 24 divisors (see below), whose sum is σ = 2735425290. Its totient is φ = 336667680.

The previous prime is 1010003081. The next prime is 1010003119. The reversal of 1010003112 is 2113000101.

1010003112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 596043396 + 413959716 = 24414^2 + 20346^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 1010003094 and 1010003103.

It is not an unprimeable number, because it can be changed into a prime (1010003119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7013839 + ... + 7013982.

Almost surely, 2^1010003112 is an apocalyptic number.

1010003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010003112 is an abundant number, since it is smaller than the sum of its proper divisors (1725422178).

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

1010003112 is a wasteful number, since it uses less digits than its factorization.

1010003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027833 (or 14027826 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010003112 is about 31780.5461249488. The cubic root of 1010003112 is about 1003.3233140159.

Adding to 1010003112 its reverse (2113000101), we get a palindrome (3123003213).

The spelling of 1010003112 in words is "one billion, ten million, three thousand, one hundred twelve".