1000101001001 has 4 divisors (see below), whose sum is σ = 1000258083072. Its totient is φ = 999943918932.

The previous prime is 1000101000973. The next prime is 1000101001007. The reversal of 1000101001001 is 1001001010001.

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 1000101001001 - 2³⁰ = 999027259177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000101001007) 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, 78531485 + ... + 78544218.

It is an arithmetic number, because the mean of its divisors is an integer number (250064520768).

Almost surely, 2^{1000101001001} is an apocalyptic number.

It is an amenable number.

1000101001001 is a deficient number, since it is larger than the sum of its proper divisors (157082071).

1000101001001 is an equidigital number, since it uses as much as digits as its factorization.

1000101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157082070.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000101001001 its reverse (1001001010001), we get a palindrome (2001102011002).

It can be divided in two parts, 100010 and 1001001, that added together give a palindrome (1101011).

The spelling of 1000101001001 in words is "one trillion, one hundred one million, one thousand, one".