1001100100001 has 2 divisors, whose sum is σ = 1001100100002. Its totient is φ = 1001100100000.

The previous prime is 1001100099977. The next prime is 1001100100081. The reversal of 1001100100001 is 1000010011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 861325061776 + 139775038225 = 928076^2 + 373865^2 .

It is an emirp because it is prime and its reverse (1000010011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001100100001 - 2²² = 1001095905697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001100100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550050000 + 500550050001.

It is an arithmetic number, because the mean of its divisors is an integer number (500550050001).

Almost surely, 2^{1001100100001} is an apocalyptic number.

It is an amenable number.

1001100100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100100001 is an equidigital number, since it uses as much as digits as its factorization.

1001100100001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1001100100001 its reverse (1000010011001), we get a palindrome (2001110111002).

The spelling of 1001100100001 in words is "one trillion, one billion, one hundred million, one hundred thousand, one".