1011003012 has 48 divisors (see below), whose sum is σ = 2635651200. Its totient is φ = 335132640.

The previous prime is 1011003011. The next prime is 1011003029. The reversal of 1011003012 is 2103001101.

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 = 1011002985 and 1011003003.

It is not an unprimeable number, because it can be changed into a prime (1011003011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6312 + ... + 45407.

It is an arithmetic number, because the mean of its divisors is an integer number (54909400).

Almost surely, 2^1011003012 is an apocalyptic number.

1011003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011003012 is an abundant number, since it is smaller than the sum of its proper divisors (1624648188).

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

1011003012 is a wasteful number, since it uses less digits than its factorization.

1011003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51913 (or 51905 counting only the distinct ones).

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

The square root of 1011003012 is about 31796.2735552454. The cubic root of 1011003012 is about 1003.6543004882.

Adding to 1011003012 its reverse (2103001101), we get a palindrome (3114004113).

The spelling of 1011003012 in words is "one billion, eleven million, three thousand, twelve".