1010001001 has 16 divisors (see below), whose sum is σ = 1080543744. Its totient is φ = 941840064.

The previous prime is 1010000983. The next prime is 1010001023. The reversal of 1010001001 is 1001000101.

1010001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010001001 - 2²⁷ = 875783273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010001061) 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, 297751 + ... + 301123.

It is an arithmetic number, because the mean of its divisors is an integer number (67533984).

Almost surely, 2^1010001001 is an apocalyptic number.

It is an amenable number.

1010001001 is a deficient number, since it is larger than the sum of its proper divisors (70542743).

1010001001 is a wasteful number, since it uses less digits than its factorization.

1010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010001001 is about 31780.5129127898. The cubic root of 1010001001 is about 1003.3226150026.

Adding to 1010001001 its reverse (1001000101), we get a palindrome (2011001102).

It can be divided in two parts, 101000100 and 1, that added together give a palindrome (101000101).

The spelling of 1010001001 in words is "one billion, ten million, one thousand, one".