1012441001 has 24 divisors (see below), whose sum is σ = 1268982792. Its totient is φ = 799603200.

The previous prime is 1012440991. The next prime is 1012441009. The reversal of 1012441001 is 1001442101.

It can be written as a sum of positive squares in 4 ways, for example, as 381225625 + 631215376 = 19525^2 + 25124^2 .

It is not a de Polignac number, because 1012441001 - 2⁶ = 1012440937 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012441009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7811 + ... + 45671.

It is an arithmetic number, because the mean of its divisors is an integer number (52874283).

Almost surely, 2^1012441001 is an apocalyptic number.

1012441001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012441001 is a deficient number, since it is larger than the sum of its proper divisors (256541791).

1012441001 is a wasteful number, since it uses less digits than its factorization.

1012441001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37913 (or 37902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1012441001 is about 31818.8780600448. The cubic root of 1012441001 is about 1004.1299206088.

Adding to 1012441001 its reverse (1001442101), we get a palindrome (2013883102).

The spelling of 1012441001 in words is "one billion, twelve million, four hundred forty-one thousand, one".