1001010000001 has 4 divisors (see below), whose sum is σ = 1092010909104. Its totient is φ = 910009090900.

The previous prime is 1001009999993. The next prime is 1001010000013. The reversal of 1001010000001 is 1000000101001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001010000001 - 2³ = 1001009999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001010001001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45500454535 + ... + 45500454556.

It is an arithmetic number, because the mean of its divisors is an integer number (273002727276).

Almost surely, 2^{1001010000001} is an apocalyptic number.

1001010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010000001 is a deficient number, since it is larger than the sum of its proper divisors (91000909103).

1001010000001 is an equidigital number, since it uses as much as digits as its factorization.

1001010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91000909102.

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

Adding to 1001010000001 its reverse (1000000101001), we get a palindrome (2001010101002).

It can be divided in two parts, 100 and 1010000001, that added together give a palindrome (1010000101).

The spelling of 1001010000001 in words is "one trillion, one billion, ten million, one", and thus it is an aban number and an uban number.