1012001000 has 64 divisors (see below), whose sum is σ = 2392724880. Its totient is φ = 400588800.

The previous prime is 1012000999. The next prime is 1012001021. The reversal of 1012001000 is 1002101.

It is a happy number.

1012001000 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 8 ways, for example, as 51868804 + 960132196 = 7202^2 + 30986^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91784 + ... + 102216.

Almost surely, 2^1012001000 is an apocalyptic number.

1012001000 is a gapful number since it is divisible by the number (10) 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 1012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196362440).

1012001000 is an abundant number, since it is smaller than the sum of its proper divisors (1380723880).

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

1012001000 is a wasteful number, since it uses less digits than its factorization.

1012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1012001000 is about 31811.9631585352. The cubic root of 1012001000 is about 1003.9844365137.

Adding to 1012001000 its reverse (1002101), we get a palindrome (1013003101).

The spelling of 1012001000 in words is "one billion, twelve million, one thousand".