100001001001 has 16 divisors (see below), whose sum is σ = 114917169600. Its totient is φ = 86062651200.

The previous prime is 100001000999. The next prime is 100001001011. The reversal of 100001001001 is 100100100001.

It is a cyclic number.

It is not a de Polignac number, because 100001001001 - 2¹ = 100001000999 is a prime.

It is a Duffinian number.

100001001001 is a modest number, since divided by 1001001 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100001001011) 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, 115395 + ... + 461863.

It is an arithmetic number, because the mean of its divisors is an integer number (7182323100).

Almost surely, 2^100001001001 is an apocalyptic number.

100001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001001001 is a deficient number, since it is larger than the sum of its proper divisors (14916168599).

100001001001 is a wasteful number, since it uses less digits than its factorization.

100001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347880.

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

Adding to 100001001001 its reverse (100100100001), we get a palindrome (200101101002).

The spelling of 100001001001 in words is "one hundred billion, one million, one thousand, one".