100000001001001 has 4 divisors (see below), whose sum is σ = 101886793472772. Its totient is φ = 98113208529232.

The previous prime is 100000001000989. The next prime is 100000001001011. The reversal of 100000001001001 is 100100100000001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 76907901181225 + 23092099819776 = 8769715^2 + 4805424^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000001001001 - 2⁷ = 100000001000873 is a prime.

It is a Duffinian number.

100000001001001 is a modest number, since divided by 1001001 gives 100000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100000001001011) 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, 943396235806 + ... + 943396235911.

It is an arithmetic number, because the mean of its divisors is an integer number (25471698368193).

Almost surely, 2^{100000001001001} is an apocalyptic number.

It is an amenable number.

100000001001001 is a deficient number, since it is larger than the sum of its proper divisors (1886792471771).

100000001001001 is an equidigital number, since it uses as much as digits as its factorization.

100000001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886792471770.

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

Adding to 100000001001001 its reverse (100100100000001), we get a palindrome (200100101001002).

The spelling of 100000001001001 in words is "one hundred trillion, one million, one thousand, one".