100001100961 has 2 divisors, whose sum is σ = 100001100962. Its totient is φ = 100001100960.

The previous prime is 100001100931. The next prime is 100001101009. The reversal of 100001100961 is 169001100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67557886561 + 32443214400 = 259919^2 + 180120^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001100961 - 2⁷ = 100001100833 is a prime.

It is a super-3 number, since 3×100001100961³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100001100911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550480 + 50000550481.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550481).

Almost surely, 2^100001100961 is an apocalyptic number.

It is an amenable number.

100001100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001100961 is an equidigital number, since it uses as much as digits as its factorization.

100001100961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100001100961 its reverse (169001100001), we get a palindrome (269002200962).

The spelling of 100001100961 in words is "one hundred billion, one million, one hundred thousand, nine hundred sixty-one".