100111000961 has 2 divisors, whose sum is σ = 100111000962. Its totient is φ = 100111000960.

The previous prime is 100111000943. The next prime is 100111001009. The reversal of 100111000961 is 169000111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99528261361 + 582739600 = 315481^2 + 24140^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000961 - 2¹⁴ = 100110984577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111003961) 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, 50055500480 + 50055500481.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500481).

Almost surely, 2^100111000961 is an apocalyptic number.

It is an amenable number.

100111000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000961 is an equidigital number, since it uses as much as digits as its factorization.

100111000961 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 20.

Adding to 100111000961 its reverse (169000111001), we get a palindrome (269111111962).

The spelling of 100111000961 in words is "one hundred billion, one hundred eleven million, nine hundred sixty-one", and thus it is an aban number.